I don't know about chicken talk maybe she was complaining about all the snow, I know I would, and yes you can freeze eggs, cooked or uncooked, but I would recommend removing them from the shell first.
I didn't think that chickens molted in the middle of winter, but I would make sure she is out of any drafts and that she is warm, I would not give her a heat source since that could slow her feathers coming in, just make sure she has a clean draft free, well strawed or other bedding box or...