Well I couldn't tell you which STD either, because many are treated that way and it's likely she could have any of them... but I think if she gets UTIs all that often then it could be another, or it could've progressed into a bladder infection. Though if she doesn't want to tell you I would guess probably not.
It sounds like you are being supportive and giving her someone to turn to when she is concerned about her health, which is important. Have you thought about bringing her to a gynocologist? Maybe getting her on some birth control? It's obvious that she's sexually active and probably isn't going to stop, so it's important that you stress the protection and birth control....
Good luck