I'd just add that its worth trying to find a cause for the eczema. For our ds (eczema from 20weeks-head, face, back, tummy, plus leg patches)it was aptimil formula, bananas and sweetcorn. We changed to using Nanny goat milk, which is very similar in "make-up" to the formula, ie vits and minerals etc, but thought to be closer to breastmilk and more easily digested. Stopped using softner in the clothes wash. Added softners to the bath water, eg oilatum, infaderm, stopped using soap or anything else of that makeup on his skin. Then smothered him, twice a day, in Epaderm.
We got away with only 24hours of a 0.1%hydrocortisone to calm things down, and have kept things under control since.
If you are still bf, it might be worth trying to reduce your dairy intake, as cowsmilk intolerance is a common cause of eczema. We also avoided introducing wheat until 6months, just in case of further intolerance, but there is no scientific link to suggest that this is essential.
ds is now 17months and clear of eczema. We re-introduced cowsmilk, slowly, at 1yr. Followed by bananas and occassionally sweetcorn, but he's not keen on this so havent persisted. Touch wood, so far so good.
Good luck with your dd, hope things start to improve soon. Don't forget to involve the Gp, mine was very helpful, and was happy to refer on to a specialist if things hadn't improved.