First, you have to find out what is causing her eczema. My friend's baby had eczema and she tried lots of creams to no avail until she found a professor who did a skin prick test and concluded that the baby was allergic to eggs.
Do seek help from a skin specialist. In the meantime, try out a bleach bath.
My friend is a registered medical nurse and she bathed her baby in a diluted bleach bath.
There are studies which have proven its effectiveness.
Also, massage your baby's body with a moisturiser after baths. I recommend Physiogel.
http://sg.theasianparent.com/4-tips-to-caring-for-a-baby-with-eczema/
https://nationaleczema.org/eczema/child-eczema/infants-toddlers/
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