Day 2 among HER FRIENDS? How's that a day 2 when she obviously would have so many other people to focus on. And as You saw there were SO MANY THINGS she could get distracted by. I don't think that's a place for a day 2.
For Day 2 I'd suggest hooking up just the two of You (make sure it's something You would do anyway and she's only there 'cause she tags along

, that gets rid of the pressure of calling it a proper date) or invite her to YOUR WORLD (ie. some party You're hosting among Your friends).
In my opinion Day 2 are about building comfort and building maybe bit of sexual tension. But among HER FRIENDS while she's being distracted by them and all that stuff... is that really a day 2? I think from what I just wrote You can answer that now yourself...
If You manage to set up another meeting don't let her make you look like You're tagging along.
Hope it helped a bit.
Regards,
Mav-