Thanks' for sharing this with us. Every living creature would most likely enjoy something warm on a cold day. Your recipe should help to do that, plus it's safe for them!
Sometimes those little one's like that need help, so this is a good article that explains what to do to help for people that haven't had this happen to them before.
I also save the egg shells for my hen's. I rinse the shell's and remove the layers of "skin" on the inside of the shell's. Then I dry the shell's over night and then crush them. When there is enough of the crushed shell's, you can add them to the feed as mentioned. I also like to scramble up a couple of eggs, and then chop that up to add to it.
