Why not ask her, why you can't bring her home? Proberly ashamed of her parents/house etc
Maybe another reason, but just ask
As far as the club, and she "left" you alone with friends is kinda strange. Again just ask, maybe she is NOT as serious as you, maybe it is something else
Nothing wrong with dating girls from internet IMO btw. Just enjoy the time you spend with her, and you will see what the future brings