I don't think she is under any obligation to report unless she suspects children are currently being abused. Is that the case? In my case, I've never had a therapist say they would report what happened to me. I was an adult when I started therapy, and if I wanted to report that was up to me. It sounds like she doesn't have any specific knowledge of current abuse, so I call her on B.S. here. In this case, I definitely would NOT give her the name if she's planning to go all rogue on you. I'd also find a different therapist.