Lily is finally blossoming! Update - more progress!!!
I have had Lily since the beginning of september now. She was real mangy looking and had bad feline acne under her chin. She seemed to be on the skinny side too. When I brought her to the vet about a week after I got her the vet commented on how bad she was shedding and her coat was dull and dry and just looked over all very mangy. The vet did some bloodwork but we both figured she probably just needed time in a home where she was going to be treated and fed well.
Her coat now has become much fuller, softer and has a shine to it. She has put on a little weight and her feline acne has nearly cleared up. the vet had given me a topical ointment for it which seemed to make it worse and then timskitties recommended I use Hibiclens but the only problem is Lily won't tolerate me cleaning her chin for that long. But I noticed yesterday that it was almost all gone!! She has become a little more playful too. she chases her tail, attacks the rug, and sometimes will go after Willis instead of him going after her.
Now I just wish she was a little more friendly. she doesn't growl or hiss at me but she isn't really affectionate either. I think she wants to be the queen of the household as she was super affectionate before she met my other cat. I feel bad in that respect that maybe mentally she is not as happy as she can be but physically she seems to look a lot healthier. Maybe she will come around and be more lovable in time but I am happy with the progress she has made so far.