Baby with an allergy.

Anyone have a baby that is allergic to dairy? See, my baby has a mild case of eczema and was breaking out in red itchy patches on her face and back. She was having terrible itchy episodes that would have me crying, I felt so bad for her. I noticed everytime I fed her pablum she would break out as well as when I nursed her. But since i cut dairy out of my diet she has had less episodes and is more content through the day. Im only on day 4 with no dairy so i am hoping this is the problem! Shes still itchy but shes not crying anymore which os a load off, although I am still hoping her itch will go away completely!