In my frantic search for gluten I also found that the shampoo I have Been using for her has wheat starch in it. Doh. There is huge chance she was getting some of that in her mouth because apparently bath water is the only water to drink!
We're a Wheat (not gluten) free house and we did this too! We finally cleared up the excema and every so often it would break out again and it wasnt until we relised the shampoo we thought was wonderful and organic had wheat in it that it finally clicked. Felt so bad!

Its scary and amazing to see how many products have or come into contact with wheat and gluten.