I would go with option "A) Friend" the others don't really make any sense and they're both talking to eachother like they have been life long friends.
The last response is the answer
Dr of Physik is wearing a dress having a blue color in it or The Wife of Bath (Alisoun)
It's definitely true. After Shuffle Along she became famous. She also mentioned that Shuffle Along was the launch of her career. Few years after that she headlined at the Palase Theatre that is very prestigious in vaudeville.