I don't agree with everyone here who says that this boyfriend is a narcissist, or that he should have done more. Him not responding at all is pretty great, and he sounds really mature to me. Also, the fact that he tells you about it is a good sign! I don't think you have anything to worry about, it sounds annoying, but a lot of people are immature and annoying. Eventually she will stop, especially if he never responds. Sometimes even a negative response is encouragement for that kind of behavior.