You’re not a mandated reporter but please tell her. Even if she doesn’t believe you at least you’ve done your best to share extremely important information. My own mom . . . very deep breath here . . . was physically and verbally abusive to me for most of my childhood. The only thing that helped to me to heal was a very good marriage and the knowledge that I told others about what she’d done openly.
I also think you should tell. Put yourself in the GF’s shoes, if you were her wouldn’t you want to know?
Speaking from experience, although I can’t provide certainty. I have infrequent flashes of memory from a young age where I’m alone with my father and something feels very, very wrong. It’s not always the same settings, there’s three that come at random. My parents divorced when I was 5, so if something happened, it was before then. The flashes started when I was about 15 or so, and I’ve since been very uncomfortable being alone with him. It hasn’t happened like it used to in a couple years, but they’re vivid enough in my memory that I can recall them. But that’s all it is, a memory of a memory. I can’t say for sure if something happened to me or not, or if it was just my imagination, and so I’ve never told anyone besides a friend who I’m no longer in contact with.