You aren't able to upload photos to the forum, since photos is a poor way to get a diagnosis- it's always best to see a doctor in person to get an accurate diagnosis.
I don't think what you have sounds like eczema- it's not usually bubbles that come to the skin- it's more of a dry rash, flaky- you can get some bumps, but I've never seen bubbles with it. If your partner is showing symptoms- it's probably a good idea to just get it checked out by a doctor to be certain of what it is- that way they can also treat it and you can start getting it healed up, hopefully, more permanently. Get an appointment with your doctor to have them look and let us know how you are doing!