Glad to hear she's settling in better!
To be honset, none of the cats I've had have been lap cats (maybe my lap isn't comfy?!) And in experience, with friends cats, they'll come and sit on your lap first; they really don't like being placed on a lap.
Ive had my two for 5 weeks now and whilst they were immediately very friendly and didn't hiss or scratch, they're still showing signs of getting more and more comfotable. They were always very happy from day 1 but didn't star purring without food around until week 2. Stravinsky didn't meow much at all up until a week ago and now he won't blinking be quiet! (
) And only recently has Darcy started doing that adorable thing cats do when they meow / purr and run at the same time, so they make a little "mr-mr-mr-mrrr" as they run (so cute!) As she's a kitten, she'll be a bit more unsure of herself too.
It may be that she's just not a lap cat, but my advice would be let her come to you in her own time. It sounds like she's a right wee character and I'm certain she'll settle in and be all purrs with you eventually, but she'll just take time.
