We're hsving same problem. Our first brooder. She is not eating. Though we have set out foid and water by her. I guess we wil. Try lifting her off next to see is she'll est and poop.
This is a several year old thread---but to reply to you. I have set and hatched out over 70 hens in the last year, I have never had one to die and for sure I Do Not Put feed and water next to their nest-----doing so has about always caused them to poop in the nest. I have Never took a hen off her nest----they WILL come off when they get ready----Think about a free-range broody that disappeared and shows back up with a large amount of chicks-----They seem to do better when the Human does not interfere with them-----LOL. So I put their food and water a few feet away from the nest---they need to get off the nest to poop and stretch their legs so that helps them do that. Good Luck