My first born has really sensitive skin, and she has eczema as well. She also used to get really bad nappy rashes, the things I tried that worked were:
1. Egg Whites whipped up as if you are making a meringue, put it on the affected area and have her lie around without a nappy until it kind of dried up, then without wiping it off apply bum cream and then the nappy. (I've heard others say after applying the egg whites, they cake it with corn starch and then the nappy without waiting for it to dry and without applying bum cream, but I haven't tried that).
2. Sudocrem, Sudocrem, and more Sudocrem. It is kind of pricey but a little goes a long way. I always make sure to have at least 2 tubs in my house, it works really fast and I use it on other rashes and scrapes and even her eczema.
Here's a link to a review that I wrote about Sudocrem - Sudocrem review
Hope it helps.
