I would take her to the pediatrician or a dermatologist.
It could very well be eczema. Our pediatrician told us to use Selsun Blue (and not H&S) on "cradle cap" and that did help a lot.
Supposedly kids who were C-Section, or on antibiotics, are more likely to get eczema, asthma, allergies and other food-related immune issues if they do not get their intestinal flora to "normal" with probiotics by the age of 5... or so I have read and been told.
My younger daughter had many immune-related issues (she's the one we had to use Selsun Blue on). Turned out that among the many things she is sensitive to, she reacts to propylene glycol which is in many shampoos, body washes, lotions, and ointments!