I understand, it does seem wrong to feed chickens eggs! But eggs are very good for them. I am sure your girls are needing more protein. You can also supplement with chick food. 20% minimum. :D
You have some hungry birds. They are craving more protein and are taking it by eating eggs! Feed them scrambled eggs, tuna and high protein foods for a week or two. Don't give them corn, just dried mealworms for snacks. Do what you are doing in gathering eggs as soon as you can. Hopefully...