OP....can you tell if she truly does have eczema? Or is it just very dry skin? If it really is eczema, then you may want to try adding a small amount of regular household bleach to her bath routine. I know, it sounds absolutely crazy and counter intuitive, but it does seem to work for me personally. I've had terrible dry skin and eczema my entire life, and the bleach baths (or for me in my worst spots, bleach compresses) really do help. The theory is that the eczema is exacerbated by staff bacteria that your daughter has on her skin, and baths/steroid creams/moisturizers don't kill that bacteria. But small amounts of bleach will. Here is an article about it
http://www.mayoclinic.com/health/eczema-bleach-bath/AN02003, definitely talk to a doctor before you try. And of course if it's not eczema, this will not help your DD at all. Good luck!