I was part of a sewing group that had a woman who always talked about herself. According to her, her life was perfect and, of course, she was sure that we were all fascinated by it. She so monopolized the conversation with her talk about herself and what she had done that eventually everyone quit coming and the group disbanded. Besides being annoying, she ridiculed people behind their backs.
I would give this person another chance, but not too many. Sure, she's insecure. Sure, she's nervous. But she's not the only member who has needs and it's not fair to the other members of the group to allow her to cause problems. I kind of like the music idea . . .