A.R.
Traditional Chinese Medicine (TCM) is a good treatment for eczema. Chinese herbal medicine is helpful too. Also, an evaluation of her diet can make a difference as well. In Chinese medicine all these things are related. (I am a licensed acupuncturist and would love to help her)
Another, simpler way to get her to put on the cream is make it fun for her. Maybe make a game out of it and let her put it on. This works for my kids when we put sunblock on them. They hate putting it on their faces but we make it fun. I will "draw" face paintings with the lotion and then they rub it in.
Hope this helps a bit!