Have your pediatrician take a look at your baby. Most often they will prescribe a strong cream medicine that will clear it the eczema right up or give you a recommendation. The worst case is that there is something that you are eating and passing through breast milk that is irritating your babies skin.
Your doctor can prescribe a strong hydrocortizone cream and of course prevention is key. Cethaphil is a gentle yet heavy moisturizer that dermatologists recommend.
There are a few over the counter medications that can be purchased to help with eczema. However, in severe situations, it needs to be diagnosed and treated by a physician.
When mothers practice good health habits, including breastfeeding, there is no severe ecxema in infants. La Leche League can help with breastfeeding assistance, even when Mothers initially used the bottle.