I am going to second the "blue point" thing. She's definitely not lilac. I agree with your husband that she is scamming people. If your cat isn't registered and you don't have papers then you basically have to call her a domestic shorthair. It's sketchy that she said her male "ran off." Didn't she also try to give the kitten to you at 5 and a half weeks? It's also sketchy that she didn't know a blue point when she saw one. I would be willing to bet that mom was blue and not lilac as well.
I am always torn on these issues. On one hand you do not want to support a person like this. She is charging too much money for cats that have no papers and don't even have a health guarantee or anything. If she thinks she can do that because the cats have points, that's not right. There are plenty of pointed cats in shelters. But on the other hand, it's not the cat's fault. *shrugs*