Miss Brill

What is the purpose of the fur piece? What is the source of the crying in the final sentence of the story?

To Miss Brill, I believe the fur piece to be her companion. I picture her as an older, frail woman. She might possibly have medical problems..."she felt a tingling in her hands and arms..." By the title, and her name, Miss Brill it is obvious that she was never married, or is now widowed. For she is a miss; although miss, to me usually specifies a younger woman. To her, the fur piece is real, to the reader, Miss Brill applies personification to the piece. We know that this item cannot really talk or interact with Miss Brill. I think her identifying with the animal is a sign of her loneliness, possibly disillusionment. Especially, her whole idea that her trip to the park is a play and she is the star. However, the last line of the story talks about crying from the fur she has placed in the box, but really it is Miss Brill. Maybe, she has finally come to accept her loneliness, as she places the fur away.