I'm new to the chicken thing, needs some experienced advice. We live in Pa. just got 4 hens couple of weeks ago. We were getting 3 eggs a day then 2 now 1. Does egg production go down toward winter? The one hen that was laying a huge egg everyday has stopped or it's getting eaten. i did find an eaten egg in the coop one day. should i not be feeding them egg shells? They are in a coop and run all day, previous owner had them free range. they get commercial layer feed, oyster shell and vegetable scraps. Thanks for any reply.