Hi,
Welcome to PC!
The late night hours are deffinetely weird! And it bothers me that you're the one having to say to her at one point that it's late and you guys need to stop. Also, a thought I had is how much does she charge? Does she charge you for all this extra time.
Her e-mailing you, and telling you she looked your band up on the internet, watched some movie you did right after you talked about it... it seems like she's trying to be like your friend, or something more, rather than your therapist. It's so weird because normally it's the client that pushes boundaries! It seems like this woman doesn't have very good boundaries at all. I would consider finding someone else. And to address what Growly said, I believe that if you see a therapist, and then want any kind of other relationship with them (friend, romantic,) you have to wait like five years. I could be wrong but I think that's it. I hope this helps.