Found an actual formed chick or found blood/blood clots?
An actual chick. One was pretty much the full "egg-ful", the other was a small but distinct chicken beginning to form. I've also had an egg which was just blood - I just assumed that this was some sort of infection, as I've had many an egg with a small smear of blood and just assumed (rightly or wrongly) that this was a sign it was fertilised. I used to quietly remove it before the squeamish members of the household saw, but I must admit the dead chicken was off putting. I thought a hen must've hidden some eggs and just kept sneaking back to them. Do they look after each others' eggs? Could some chickens have been taking turns?
I know that to chicken keepers this must sound a stupid question but I'd genuinely be interested to know. I used to breed fancy mice for show. Mice are excellent mothers and will babysit and even feed each other's babies. I had one lovely little doe which had an incredibly strong maternal instinct, and used to actually steal babies off the other mice (mice are normally kept in trios of a buck and two does), but then refuse to let their mothers have them back. Many a time I'd find her sitting on a pile of 20 or so babies and attacking the other mother mouse who was trying to pinch them back. I never quite knew how she managed to steal them so efficiently in the first place.