T.S.
I have eczema so I can tell you that they should heal. I would put a band-aide over the spot but also put neosporin on it. Get one of the band-aides that tape all the way around and put neosporin on it and then leave it all day. I do this for my fingers that break open. They start healing right away. If you do not have neosporin then put a drop of lotion maybe. The area is dried out and needs to be re-hydrated. Try to make sure that she drinks a lot of water too. That always seems to help. If my skin is dry then I get an extra glass of water.