She could just be really friendly or she could be flirting; it's hard to tell with some people until they actually say something. If it is flirting, I'd be wary of anyone who flirts that much while currently in a relationship. To me it means that they have commitment issues and/or may be likely to cheat or at least appear as if it has crossed their mind. Personally, even if I had feelings for a girl who did all of that, I wouldn't go for her. I don't like the idea that I could start dating her and she would probably keep flirting with other people, but I'm not exactly the type of person who likes to share unless it's within a stable polyamorous relationship. (See: they had better not go around fixing other people's clothing, saying 'my love', giving other touches, etc. Hugs are fine and dandy, but not much else.)
But the girl could also just be rather friendly. I've known people who have acted like with other people (not with me because I won't allow someone to do that with me out of a general desire not to be touched and called things like 'my love') because they were just naturally friendly and touchy-feely.