Our orpington somehow broke an egg under her, and the egg residue is now all over her belly feathers. I tried to clean it with a washcloth and water, but it is just not coming off, and the feathers are all gluey and gunky. I think some of the feathers may have fallen out already, and the skin looks irritated. I think it happened in the last day or two, but she is so fluffy that it's possible it happened earlier without me noticing. She's also at the bottom of the pecking order, so I'm worried the other hens will bother her about it. Any suggestions?