My 14 year old cat has been losing hair on her belly, feet, and face (near her ears) for a few years. The vet thought it was allergies and put her on steroids and it did not seem to make too much of a difference in her hair loss. She went off the steroids, but she started losing a lot of weight, so she was put back on them and there seemed to be an improvement. Right now, she is still too skinny for my liking and her hair loss seems to be advancing (hair on back is thinning and more hair loss on her belly and hind legs). The tips of her ears also feel leathery and almost “dead”. She usually hates my friend (hissing and growling), but she recently let my friend pet her and she purred- very strange after 14 years of hating my friend. Any ideas?