I tihnk something like Johnsons baby lotion would be ok. I've used it. If you think it's actually eczema you may want to speak with her ped about something that will help clear it up. Not all lotions help eczema, especially if they have alcohol, fragrances or other unnecessary additives in them. My 7 yo has pretty bad eczema and we've found the aveeno line of products to be EXTREMELY helpful and it has helped us to minimize the use of topical steroids. Aveeno does make a line of products for infants