You need to contact your vet and get a good spot on flea killer and a can of household spray and treat everywhere.
My betting is the old owners had pets and left you some visitors. You may not be aware of them as they may not be great in number, but a few cats will just react very violently to their bites. If she is really bad she may need to see the vet to get some medication to help her through until the house and her are fully treated.
Thanks. I know the old owners didn't have any pets, but that's no guarantee there aren't bugs. It never occurred to me that it could be from an insect.
I haven't seen any fleas around, and neither kitty has any hair, so I know they aren't living on them, but I guess I will just have to find a local vet and get her checked over. I've been waiting on a reference from her breed association for someone who is familiar with them, but so far no response.
(any good vet would be great for internal stuff, since that's same, but for a skin condition I really don't want my girl to be the first sphynx the vet has ever seen)
I suppose I will just have to start calling them all