Baby Eczema

My baby is 3 1/2 months old and I discovered her dry skin is Eczema. She is not immunized, in fact, she's never been to a Dr. I saw a midwife for my pregnancy, it was a home water birth, she nursed within 20 mn of delivery. Labor was 7 hours and pushing was 30 mn. She never lost weight and was a good sleeper. Now she us up for 45mn and then naps for 1 hour all day long. She usually sleeps 2 - 3 hours at night. 3 times she slept 5 hours ('through the night). Besides the dry skin from jaw up across the forhead and eye brows, back down the sideburns to the jaw she is dry from the shoulders to elbow, behind the knees and elbow and chin rash, she also has 'white' spots - loss of pigmintation, she is part caucasion part East Indian. She is strictly breatfed. We had a long bout with Thrush, caprillic acid seems to finally do the trick along with the Genitan Violet we were using the entire time.