Has your hubby been any better with the break outs around his mouth since Star has been outside? If not then it might not be the cat at all.

Also you can pick up poison ivy from a pet. One of my co-workers and I both broke out in a horrible rash from a dog that gets into it alot. We now have a note on the file so either someone else can handle the dog, or we have to throw a towel over it and wash really good afterwards, we haven't had a problem since.