Lucy's relationship with Peggy

From what can tell from the reading, Lucy is attracted to Peggy as a friend because she is different. Peggy is the polar opposite of Mariah in the way that she looks and acts. This leads me to think that there is a connection between Lucy's past relationships and the new ones she decides to make in the United States. From what we get in the novel from Lucy about her past, her relationship with her mother has caused her a lot of pain and frustration. Then, when she meets Mariah, she sees her as a mother figure. She notes that Mariah is very different from the women in her country, but she recognizes the same motherly qualities in her. I think this is one of the biggest things about Mariah that make her reject getting close with her for most of the novel. Therefore, I feel like this is part of the reason she gets along with Peggy. Peggy is not anything like either of the motherly figures in her life. Lucy even says they have nothing in common, so it must be something else that keeps them together as friends. Does anyone else think that Lucy has some type of obsession with anything that is outside of the ordinary?