Re: eczema back...
Was she vaxed recently?
Eczema is a symptom it's telling you something. Avoid cortisone in any form as much as possible. It is absorbed through the skin and destroys the body.
Is your LO allergic to shellfish? If not, I recommend Krill oil, every day. If she is, Salmon oil...by mouth. You could also get those gummi fish if she can't swallow pills, but I don't do corn syrup.
MegaFood.com: Kid's N' Megaflora
Beeyoutiful.com: Miracle Salve. I make my own, though.