what was Dick's relationship with Miss Betsey and how did he come to live with her?

Although Miss. Betsey initially disapproves of David, she becomes a sort of guardian angel. She is David's great aunt who takes David in when he runs away from his evil stepfather's factory. She houses, feeds, and educates David. She even pays for his internship at a law practice.

Wgat was the dick relationship with miss betsey