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I saw somewhere that there is some advantage that Musket has over an arquebus. But I can't find it. Muskets are a lot more encumbering and have the same range and damage. Why would you want a musket?

Character classes Allowed in Veins of the Earth: All classes from Rules and Magic for surface dwellers plus the local race.

Amazons - Like in Frostbitten and Mutilated except instead of rolling for abilities at first level they get: Frazetta Armor and Damage dice with the shortbow have a number of extra sides equal to Dex bonus. Ancient Greek is their native language. Their Alignment is always Chaotic. Their Priestesses are Druidesses

Barbarians - Like Amazons in Frostbitten and Mutilated except instead of rolling for abilities at first level they get: Can add their Wisdom bonus to AC if unarmored except for helmet or shield. Have an oversized Barbarian Weapon (in the form of a Great Sword, Axe or Club) that they can wield, one-handed. Damage for a Barbarian Weapon is 1d8 plus a number of extra sides equal to STR bonus. All Barbarians are male. Ancient Greek is their native language. Their Alignment is always Chaotic.

Gnonmen - Like Halflings except Infravision is 120' in up to Level 3 Darkness. And they are skilled in Swimming, instead of Bushcraft and 5 in 6 in Climbing, instead of Hiding.

dERoS
dERos physically resemble Dwarfs. They roll their attributes 3d6 six times IN ORDER. No switching or adjustment allowed.
dERoS roll Saves, initiative, skills, and Hit Dice as in the EC Playtest Notes.
4 of their initial Skill points must be spent on Tinker. Any remaining may be spent as the player choses. dERoS begin play with a number of rolls on the effects chart equal to their HD size and gain one more per level.
The Rapture will never stop encountering them.
They begin with Madman Equipment.
dERoS have infravision that reaches a number of feet equal to their WIS score x ten and works in 1d4 level darkness.
If a dERoS fails a save against an illusion spell, after the spell "expires" it will continue to exist as a sentient entity for the dERoS. Roll a reaction to see whether the illusion harasses the dERoS or becomes an ally. dERoS that meet each other can fail a Save vs Spell to determine if they can see each other's illusions.
Dvargir - Like Dwarfs, except Infravision is 120' in up to Level 3 Darkness. Archetecture Skill can be used for Climbing cave walls.

Fungoids (Mushroom Men) - Have no sense of smell, are immune to all poisons, "breathe" through the undersides of their caps, Do not defecate or urinate, but instead, vomit their waste several times a day, Can not eat cooked food. Prefer to eat rotting flesh or plant matter, do not have individual fingers or opposable thumbs. Their HD size is randomly rolled each level. They gain a patch of random coloration each level. Eating part of the coloured patch of the Mushroom Man grants powers but causes 1d6 damage to the Character, 1d4 if he eats himself.

Aelf-Adal - This is an alternate version of the Elf Class. Aelf Adal make saving throws as LotFP standard Elves. Like all other characters, except Fighters, Aelf-Adal start with a +1 bonus to attack rolls. This increases by +1 per level. But their total attack bonus, including strength, dexterity, magical bonuses and situational modifiers can never exceed +7.
They can cast Magic User spells and cast without risk a number of spells per day equal to their level. They must have one hand free in order to cast spells. Their spellbook begins with three 1st level spells and one 2nd level spell. Aelf-Adal can not cast from memory spells higher than 5th level. But they may write higher level spells in their spellbook and create scrolls or potions of them.
Aelf-Adal can perform the Search Skill like standard LotFP Elves.
Aelf-Adal can cast spells in any armor, including Full Plate Armor. But armor still counts for encumbrance purposes.
Aelf-Adal are normally only surprised on a 1 in 6. If wearing non-metal armor and at least 90’ from anyone else, Aelf-Adal Surprise others 4 in 6 of the time.
Aelf-Adal have 120’ Infravision that allows them to see in up to level 2 darkness.
Aelf-Adal require the following XP to level up:
Level XP HP
1         0 1d6
2  4,500 +1d6
3  9,000 +1d6
4  18,000 +1d6
5  40,500 +1d6
6  75,000 +1d6
7  130,000 +1d6
8  215,000 +1d6
9  385,000 +1d6
10      750,000 +2**
11  1,125,000 +2**
12   1,500,000 +2**
13   1,375,000 +2**
14  1,750,000 +2**
15  2,125,000 +2**
16  2,500,000 +2**
17  2,875,000 +2**
18   3,250,000 +2**
19  3,625,000 +2**
20   4,240,000 +2**

Olm - are blind amphibious salamander-men. Their movement rate is doubled in the water. They swim 6 in 6 and can hold their breath when awake, a number of of hours equal to their constitution score. They can sleep underwater for a number of centuries equal to their constitution score. But if wakened, must eat before they can go back to sleep. On land their AC is 12 but in water their AC is as Plate (AC17).
Although blind, their sense of touch allows them to feel the air well enough that they do not suffer a -4 penalty to hit with melee weapons while on land, and in water, they can "feel" man-size creatures as well as a human with light can see up to 60 feet.  Large creatures and underwater terrain features can be felt up to 120 feet away. Gargantuan creatures (whale sized or bigger) and waterfalls can be felt up to 180 feet away. (But waterfalls can be heard long before the Olm can feel it.) Olm can not benefit from a light source.
Olm climb 5 in 6.
Olm prefer waterproof weapons of Stone or bone. Clubs, picks and Shortswords are common. Great Warriors have weapons made from water creatures they have slain. They may use shields.
Olm are halfling sized. They make a point of never smelling of anything. Olm do not understand time in the same way shorter lived creatures do.
Olm gain experience, hit points and save as specialists.
Their Main Attribute is Constitution and their Favored Attribute is Wisdom.
Naiads are treated as Priestesses by the Olm

Svirfnebli - Are short, Deep-dwelling, Humanoids that look similar to Halflings and Gnonmen. Svirfnebli make Saving Throws as LotFP standard Dwarves. Their Main Attribute is Dexterity  and their Favoured  Attribute is Intelligence. Like all other characters, except Fighters, Svirfnebli start with a +1 bonus to attack rolls. This increases by +1 per level. But their total attack bonus, including strength, dexterity, magical bonuses and situational modifiers can never exceed +6.
They can cast (1st ed) AD&D illusionist spells and cast without risk a number of spells per day equal to their level. They must have one hand free in order to cast spells. For the GDQ series, Their spellbook begins with Blindness, Blur, Change Self and  four 1st level spells, one 2nd level spell, two 3rd level spells and one 4th level spell. The Svirfnebli starts with a scroll of their 4th level spell.) Svirfnebli  can not cast from memory spells higher than 3rd level. But they may write higher level spells in their spellbook and create scrolls or potions of them. (or risky cast them)
Svirfnebli  can cast spells in any armor, including Full Plate Armor. But armor still counts for encumbrance purposes.
Svirfnebli   have 120’ Infravision that allows them to see in up to level 3 darkness and 30' Ultravision.
Svirfnebli of 6+ level have a 50% chance of summoning an Earth Elemental, once per day, which must  be paid in gems and is 90% likely to be hostile.
Svirfnebli  have a permanent Non-Detection spell on them.
1-4th level Svirfnebli are +2 to hit with darts.
Svirfnebli can Climb as well as a Dwarf can do Architecture.
Svirfnebli can Hide 4 in 6 as long as they are not moving and can remain motionless for long periods of time. (a number of Minutes equal to their constitution x5)
Svirfnebli are only Surprised 1 in 12 if not using a light and surprise others 9 in 10 unless their opponent has a light source and they do not.
Svirfnebli have their own language which is understood 4 in 6 by people who already know the languages of Gnonmen, dErOs, or Gnomes. Most Svirfnebli know the Silent Language and the language of the Substratals. And they have a 3 in 6 chance to know Kuo-Taon or Drow. (These probabilities do not include Int bonuses)

Svirfnebli require the following XP to level up:

Level XP HP
1         0  1d6
2            4,250        +1d6
3            8,500        +1d6
4            17,000        +1d6
5            36,000        +1d6
6            70,000        +1d6
7            130,000    +1d6
8            220,000        +1d6
9            395,000        +1d6
10          720,000        +2
11         1,190,000        +2
12        1,660,000        +2
13        2,130,000        +2
14        2,600,000        +2
15        3,070,000        +2
16        3,540,000        +2
17        4,010,000        +2
18        4,480,000        +2
19        4,950,000        +2
20        5,420,000        +2

Kuo-Tao Clerics of Lobstrology have thick skin, giving them an AC of 17. They have 60' infravision that allows them to see in up to level 2 darkness, but in sunlight, above the surface of the water they are -2 to hit. They can breath underwater. They have d6 Hit dice.
They have a new skill called: Disguise. A 1st level Kuo-Tao Clerics of Lobstrology has a 2 in 6 chance of successfully disguising themselves as nobody important.
Kuo-Tao Clerics of Lobstrology can Set traps like a specialist with the Tinker skill. 1st level Kuo-Tao Clerics of Lobsterism have a 2 in 6 chance of successfully setting a trap.
If an Kuo-Tao Clerics of Lobstrology Surprises an opponent, they may attempt to assassinate that opponent. If the assassination attempt fails, they may still roll to see if the attempt succeeds conventionally.
Kuo-Tao Clerics of Lobstrology can do double damage with Sneak Attacks at 1st level.
starting at 3rd level, a Kuo-Tao Cleric of Lobstrology can improve their skills just like a Specialist. They already have two pips each on Disguise, Tinker and Sneak attack. In addition they have 4 more pips to spend on any skill the Kuo-Tao Cleric of Lobsterism chooses.The Kuo-Tao Cleric of Lobstrology gains 4 more pips at 4th level and again at 5th level. Starting a 6th level, the Kuo-Tao Cleric of Lobstrology gains 2 pips per level.
They can cast Cleric Spells like a Cleric of the same level.
Level    XP                    HD    save: Paralyze    Poison    Breath    Device  Magic
1            0                       1d6               13                13            16        14            15
2            3,250                +1d6            13                13            16        14            15
3            6,500                +1d6             13                13            16        14           15
4          13,000                +1d6              12                13            16        13          14
5          26,000                +1d6               12                12            15        13         14
6          53,000                +1d6                12                12            15        13         14
7        106,000                +1d6                11                12            15        12         13
8        212,000                +1d6                11                12             15        12         13
9        424,000                +1d6                10                11            14          11         12
10    636,000                +2*                    10                11             14           11        12
11    873,000                +2*                    10                11              14            10        11
12  1,135,000                +2*                    10                11             14            10         11
13  1,422,000            +2*                     9                10              13            9          10
14  1,784,000            +2*                    9                10                13            9         10
15 2,396,000            +2*                    9                10                13            9          10
16 3,228,000            +2*                    7                4                    10            8          9
17 3,340,000            +2*                    7                4                    10            8           9
18 3,452,000            +2*                    6                3                    9            7            8
19 3,554,000            +2*                    5                2                    8            6            7
20 3,886,000            +2*                    4                2                    7             4            5

Has anyone made a "I search the body" chart that is customised for the English Civil War or 30 years war? (I would rather alter an already invented wheel than make my own)

Ran this last night. . . .
every time I run this, when they get to the boiling cauldrons in the lab. I randomly roll and the very first on always is the one that boils over. And the players start kicking over the others without testing.

Reading Veinscrawl and the section on motivations for surface dwellers to explore the Veins, there is is a section on Loot that says:

"Veins loot makes conventional dungeons look like a discount clothing warehouse after a fire sale, in a hyper- inflationary economy, right before the coldest winter on record. Your gold crowns and polished gems and magic wands are bent clothes hangers and ragged Snoopy t-shirts compared to the stuff in the Veins. It will get to the point where gold is too heavy and too pointless to transport."

Looking at the loot in Deep Carbon Observatory, if you don't adjust it for the silver standard, It fits this pattern.

So here is a challenge:
What kind of loot would you put in your Veins campaign? These should be things so valuable that you throw gold away in favour of this treasure.

I have seen something about a future edition of LotFP on the internet. But with Eldritch Cock, I finally see it in actual print. So I thought I would give my feedback. The various editions of D&D produced by WoC are very different from each other and very different from anything TSR produced. In comparison to anything WoC produced, the various versions of D&D and AD&D that TSR produced are near Identical. Sure there are some differences. That’s why we prefer one edition over another. But they are all so much alike that you can use modules made for one edition and use them for another with little or no modification needed. In some versions no armor is AC10, in others, it’s AC 9. But in all TSR versions chainmail is AC 5 and Platemail + Shield is AC 2. The same goes for the various retro-clones of TSR games. They are all basically the same game.
So when I first looked at the current rules of LotFP I saw the same game I had been playing for decades, with a few minor, but important, rule changes. The familiarity of LotFP is what made me willing to give the system a try, rather than play lotFP modules using (1st ed) AD&D rules, which is totally doable.

So in the front cover of EC is the weird magic system that had already been using for a year ever since VAM came out. One of my complains about most games is that Magic Users never reach high enough level to use the really cool spells. This fixes that. I only have a couple of quibbles with it. First of all, I don’t like all the spells being the same level for research costs. Players should have to make that choice about which spells they can afford to research. Are they going to spend all their money on Time Stop? Or will they instead, research: Detect Magic, Identify, Magic Missile, Sleep, Invisibility and Haste for the same cost? Also, when I play with New School players, they gripe a lot about not getting to pick their spells, even if the randomly rolled spells are high level.

So, on to the back cover . . .

In the introduction, you make a point about LotFP being a game where characters rarely progress beyond 1st level. And these new rules appear to be built on that assumption. They appear to be making a game like Holmes Basic where characters never progress beyond 3rd level. My experience with OSR games and LotFP is that 1st level characters do have a high death rate. For that reason, players, especially New School players don’t like to start at first level. Also, when sitting around a table, rolling up an OSR character is quick and easy. When playing online, rolling up a character is more complicated and can take an hour of referee time. (though the roll time for the player is much shorter) For this reason, when playing online, I start all new characters at 12,003 XP which is 4th level for most classes. At this level, the death rate is not so high, characters don’t die on the first encounter very often and often they live to progress in level. Still, I can’t see 1st level characters surviving for very long in a Red and Pleasant Land or Frostbitten and Mutilated or Broodmother Skyfortress.

Ability Scores
New School players like a point buy system for choosing Ability Scores. And they tend to make the same choices over and over, so all characters of a particular class tend to be pretty much the same. Everyone makes a Hercules. No one makes an Odyseus. For this reason, I prefer some variation of “roll in order” and LotFP uses a modified “roll in order” as it’s standard. Six attributes are the standard that LotFP inherited from older game systems. But my time playing Mazes & Minotaurs has made me question why there needs to be 6 attributes and why Strength and Constitution need to be separate attributes.
So now you are making Charisma affect Magic Saving Throws. I certain that this makes sense to New School players who are used to playing Sorcerers and Bards. But LotFP does not have either of those classes. Why do Chr and Int even need to be separate Attributes?
Hit Dice size is now based on Con and not class? I Predict we will see a lot of Magi with high Constitutions with this rule, and Fighters with d4 HD.
Dex Increases initiative roll size? I already use individual Initiative. This rule will prevent certain characters from always being first because they are +3 on initiative. I predict Magi will pick this ability often.
Intelligence increasing skill points? This was already true for Languages. It makes sense for extending it to all skills.
Strength now helps encumbrance. The simplified encumbrance system was one of the strengths of LotFP. This makes it more complicated.
Wisdom. . . . with no Clerics, why even have separate saves for Magic and Other? Why not merge Wis, Chr and Int?

Character Classes
The classes have been reduced to Fighter, Magic User and Specialist. I like that in LotFP each class is unique. But in making this transition Elves and Clerics have been hurt the worse. Elves have lost too much of their fighting ability in LotFP and their XP per level has been lowered too much. Many players who try to game the system chose to play Elves instead of  Magi. So I am not sorry to see elves go.
Clerics, on the other hand have been the biggest losers of the conversion to LotFP. When the spells were divided between Magic and Clerics, the Clerics got fewer and weaker spells. They also lost their almost-fighter combat abilities. Still, I can’t see running a game without Clerics.  England Upturned devotes a lot of space to Clerics of various religions. And World of the Lost has that Cleric Spell generator.
But I really, really like the LotFP rules for Dwarfs and Halflings! I would like to see those classes survive, even if not as little non-human people. Replace Architecture with Leadership and Dwarfs would make a good Pikeman Class. And Halflings as Humans could make good Explorers/Rangers/Poachers/Savages.
Also, there are certain players that are very attached to Elves, Dwarves and Halflings. (And New School Players who are very attached to Dragonborn and Teiflings)

Attack Bonuses
I don’t understand why Firearms and Ranged attack are different. Or, if there are no to-hit bonuses for Str and Dex, why there needs to be more than one kind of Attack Bonus.

Weapon Damage
The old system of variable weapon damage is fast and easy. You just roll the die. With LotFP, I can easily negate 5 AC for firearms. But I have trouble remembering to do it for crossbows. The new system of variable armor seems like a nightmare to implement unless  you were playing online and someone had already made you a character sheet with imbedded macros.

Skills
Not rolling a 1d100% roll for skills was the biggest change for me. But I quickly grew to love the LotFP method of rolling on a d6.
I don’t like this new way of rolling skills. Having a 1 in 4 chance and rolling seemed quick and easy. Filling in the dots on the character sheet made it easy to see how much of a chance you had to succeed.  I’m pretty sure this new method was come up with because New School players were complaining about not being able to roll high for skills. If I make this change, it will take some getting used to. And it is not backwards compatible. Large sections of Veins of the Earth will have to be re-written.
Giving some skills to the non-specialists undercuts the whole idea that only Specialists are good at skills. Also, I think that Specialists start with too few skills. They should have a decent chance to succeed with dangerous skills like Climbing, disarming traps (that will go off if you fail) or stealth (against someone who will attack you if you fail) If you don’t have at least a 50/50 chance of success, the skill is too dangerous to attempt. For this reason in my game I start Specialists with 12 points, and have them progress 2/level after 1st.
Looking at the list of skills . . . I see Sneak attack has been removed. Even though I enforce the rule that the victim must be unaware of the Specialist and Surprised, I disagree with this removing this Skill. My Players don’t use it a lot. But it is satisfying when they succeed. (Also, have this skill makes them attempt Stealth more often)
Leadership is a good idea for a skill for warrior or priestly types. It does not seem a good fit for Specialists to be the best at.
Luck - This seems like a good new skill.
Medicine -  This also seems like a good skill. I have already been using something similar I got from a website. This makes the Specialist, not the Cleric the go-to guy for healing. And when they have to look outside the party for healing, my party trusts the swamp-witch more than any Clerics they meet.
Seamanship - Thus far LotFP has not done much with seaborne adventures. The Underdark Swimming skill from Veins of the Earth should be folded into this.

Saving Throws
I don’t at all like this new method of rolling Saving Throws! Although it is more advantageous than the existing system for 1st level characters. You get stuck with the same Saving Throws forever, never improving. Besides, I have spent decades rolling a d20 for Saves. If you insist with going with this, perhaps you could make ability score increases one of the perks of leveling up?
And speaking of Saves, There is no reason to stick with the 5 different kinds of saves. One of the few things I like about WoC is their division of Saves into 3 categories. You could easily pare that down to two.