Morgan, are you in the U.S. or are you in the southern hemisphere? I can tell you one thing that will cause a chicken to eat eggs is this: her diet is not adequate to meet her needs. Then the shells become weak. Chickens are opportunistic and it's a self preservation thing to eat any egg that breaks in the nest. A broken egg that is not cleaned up would attract predators. And that weak egg might just as well be used by the chicken to boost her own health.
A sitting hen will eat any egg that does not contain a viable embryo. Same thing: keep the nest clean, and help prevent predators.
Often egg eating is a seasonal thing, most frequently seen at the end of a laying cycle, when calcium reserves are used up, and the shells become weak. It's also seen at the end of the winter.
IMO, feeding eggs to the flock is more likely to PREVENT egg eating than it is to cause it. (because it gives them the protein they need.) I give egg shells to my birds ALL THE TIME. This is also considered to "cause egg eating". I do not grind the egg shells up. Or wash them. I simply toss them on the ground, and stomp them with my foot. Any meat that we don't eat goes to either the dog, or the chickens. I often give them a cooked chicken or turkey carcass to clean up. And NO, this does not turn them into cannibals!
Finally, I do believe that a hen who is protein deficient would lay smaller eggs. Before collecting hatching eggs, I put my flock on multi vitamins. It makes a huge difference in the quality of the entire egg: shell and membrane strength, yolk size and color, yolk membrane strength, fewer blood spots, larger eggs.
I believe the feather picking you are seeing may be related to a deficient diet. That being said, once feather picking starts, it can become a habit that can only be fixed by removing the feather picker from the flock.
A sitting hen will eat any egg that does not contain a viable embryo. Same thing: keep the nest clean, and help prevent predators.
Often egg eating is a seasonal thing, most frequently seen at the end of a laying cycle, when calcium reserves are used up, and the shells become weak. It's also seen at the end of the winter.
IMO, feeding eggs to the flock is more likely to PREVENT egg eating than it is to cause it. (because it gives them the protein they need.) I give egg shells to my birds ALL THE TIME. This is also considered to "cause egg eating". I do not grind the egg shells up. Or wash them. I simply toss them on the ground, and stomp them with my foot. Any meat that we don't eat goes to either the dog, or the chickens. I often give them a cooked chicken or turkey carcass to clean up. And NO, this does not turn them into cannibals!
Finally, I do believe that a hen who is protein deficient would lay smaller eggs. Before collecting hatching eggs, I put my flock on multi vitamins. It makes a huge difference in the quality of the entire egg: shell and membrane strength, yolk size and color, yolk membrane strength, fewer blood spots, larger eggs.
I believe the feather picking you are seeing may be related to a deficient diet. That being said, once feather picking starts, it can become a habit that can only be fixed by removing the feather picker from the flock.
. coop and run are heavy so not moveable but they do free range in a large like 1,000sqft yard and love the bugs in it. I was told never to feed them any kind of meat or eggs as the people who told me this ened up with egg eaters or cannibalism in their flock so I'm weary of feeding eggs and meat.

She tells me they'll eat eggs. I tell her they eat eggs everyday...when I feed eggs to them. She just shakes her head.
