Okay, so after reading the book several times, I think damage resolution works like this:

Player has 10 wounds. A weapon hits them for 15 damage in the arm. They take 5 points of critical damage, but they aren't dead and can still attack (provided they are not stunned or some such). If they are hit again, but in the head for 3 damage, it goes straight to critical damage and results in death.

Is this correct?

Looks like it, chief. Different hit locations don't accumulate negative wounds separately; there's just one wounds pool per character.

that is correct. remember you can spend a fate point during any turn to heal 1d5 wounds (once per scene i believe)

Soo all areas have just as much wounds? And they are independent from each other?

Say you take 3 crit to leg, you look up on appropriate table and apply

Then hit for 2 to body, look up table at 5 body

Repeat until dead/incap or enemies are dead

Letrii said:

And the armour takes the first damage before it goes on the wounds, right?

That's right, armour and tougness bonus soak the damage first and any excess goes to wounds.

What I don't understand is how these rules can be misunderstood.

1. Guardsman "Synchthrote"* (Wounds: 10; Toughness Bonus: 3; Armour Points: 4) gets hit by an autogun for 12 points of damage.
2. Synchthrote's player deducts 4 points of damage thanks to his Armour Points. Damage taken is now 8.
3. Synchthrote's player deducts 3 points of damage thanks to his Toughness Bonus. Damage taken is now 5.
4. Synchthrote takes 5 damage. He is now at 5 Wounds, lightly wounded.

Synchthrote manages to return fire and kill the cultist who was shooting at him. At this point, he can still spend a Fate Point to regain 1D5 Wounds. A little later on...

1. Synchthrote (Wounds: 5; TB: 3; AP: 4) gets hit by falling rubble for 10 damage.
2. Synchthrote's player deducts 4 points of damage thanks to his Armour Points. Damage taken is now 6.
3. Synchthrote's player deducts 3 points of damage thanks to his Toughness Bonus. Damage taken is now 3.
4. Synchthrote takes 3 damage. He is now at 2 Wounds, heavily wounded.

After pulling himself free from the rubble, Synchthrote has to fight for his life against a pack of scavvies who ambush him. At this point, he can still spend a Fate Point to regain 1D5 Wounds.

1. Synchthrote (Wounds: 2; TB 3; AP 4) gets hit by a shotgun for 14 damage to the leg.
2. Synchthrote's player deducts 4 points of damage thanks to his Armour Points. Damage taken is now 10.
3. Synchthrote's player deducts 3 points of damage thanks to his Toughness Bonus. Damage taken is now 7.
4. Synchthrote takes 7 damage. He is now at -5 Wounds, critically wounded, and suffering from whatever reads from number 5 on the Critical Impact Damage To The Leg Table or whatever.

Because he has taken Critical Damage, Synchthrote cannot spend a Fate Point to regain 1D5 Wounds. Assuming Synchthrote somehow survives...

1. Synchthrote (Wounds: -5; TB 3; AP 4) gets hit by a rifle stock to the head for 2 damage.
2. Synchthrote's player deducts 4 points of damage thanks to his Armour Points. This nullifies the damage.
3. Synchthrote takes no damage. He is still at -5 Wounds, still suffering critical damage, and still cannot regain Woulds by spending a Fate Point.

And finally...

1. Synchthrote (Wounds -5; TB 3; AP 4) gets hit in the chest by a custom-built hunting rifle (Pen 0) for 11 damage.
2. Synchthrote's player deducts 4 points of damage thanks to his Armour Points. Damage taken is now 7.
3. Synchthrote's player deducts 3 points of damage thanks to his Toughness Bonus. Damage taken is now 4.
4. Synchthrote takes 4 damage. He is now at -9 Wounds and (according to the Critical Impact Damage To The Body Table or whatever it's called) dead.
5. Unless Synchthrote has any Fate Points to burn, it's time to roll up another character.