A couple of months ago, I was in my chiropractor's office. There was this cute little boy with his mom ahead of me and I overheard that the mom was bringing in her son for eczema. I was curious and asked my doctor about it and he explained that chiropractic helped with this kind of skin disorder in certain cases.
When I saw the little boy again a couple weeks ago, he was really happy and wasn't itching as much as the last time. I also noticed that he didn't have much of the eczema on his arms anymore.
It worked for the 2 year old, so I thought I would pass along a suggestion since you asked for a natural solution.