Who is Jane Bellwether, Mrs. Bellwether from The Mysteries of Pittsburgh and what is their importance?

Jane Bellwether is Cleveland Arning's girlfriend. She is attracted to bad boys and loves the danger. Unfortunately, Cleveland's bad boy image is the exact reason her family completely disapproves of their relationship. Jane is described as attractive, smart, and impetuous, as evidenced in the way she finally sneaks away to be with him.