I have a Buckeye that went broody but only had four eggs. I moved her to a broody pen, but as she had already been setting for a while I didn't want to add any eggs. Two days ago she hatched 2 chicks. Today she has the chicks off the nest, but is taking an unhatched egg with her. It's a small cage, 2 x 3, but she moves that egg around with her and the chicks, over to get water and food, back to the nest corner, etc. She's as bad as I am about not giving up on eggs in the bator. I still have hope because she was in a coop with other chickens, so the egg could have been laid after she started setting on the others. Anyone else ever seen a hen take an egg with her?