Doesn't seem odd really at all. Earlier in your working relationship, keeping the story anonymous may have been while waiting/deciding if you would/could handle/benefit from personal knowledge of her. This time, she felt giving the personal information would be okay for you.

I liken it to who I tell my own kids about certain things. I have to go with a certain age-appropriateness about how I tell them certain things. Full information can be confusing or overwhelming or simply not appropriate when they are younger, but they can handle the information differently as they mature. Therapy is kind of similar in that way, but instead of age appropriateness, a therapist is looking at emotional/mental appropriateness for a client, and that can change over time.