I am part of the Bavaro family from Chicago. I've heard lots of stories about family in California and in New York. I'm not sure if we're from Bari, but it seems like a possibility given the messages here.
My grandfather was Vito Bavaro. He had 5 children, Joe, Richard, Vito, Jeanne and Ann Marie. My grandfather has brothers named Joe and Frank. My grandfather's mother's name was Carmella and she was from Italy, but I don't know where. I'll find out tomorrow and see if I can get more information.