Does your layer live with a lot of other chickens? She could be hungry, I had a chicken that wasn't eating enough food because of the others and she started eating her own eggs. You could feed her separately if that may be the case. I heard once that some chickens will eat eggs because they are deprived of something (yeah something like that) and said to put egg yolk in their feed.
Welcome to BYC. I recommend giving the hen away, or culling and eating her. Your other hens will observe her behavior and start to do the same thing, then you'll never have eggs.