The first comparison that the narrator would make between herself and her mother is that at this point in their lives, neither of them are strong enough to be on their own. The narrator makes a point of telling the reader that she moved back in with her mother not only because her mother could not see and needed her help but also because she, the narrator, was not doing very well in her life either.
A second comparison would be that both of these women seem to have faced a great deal of adversity in their lives and had to deal with death and near death experiences. The narrator’s mother obviously had to deal with the death of her husband and her unborn child and the fact that she almost died herself. Additionally, she almost lost her daughter in the fire but was able to save her instead. Similarly, the narrator had to deal with a near death experience when the firemen could not save her from the burning house and her mother had to come to her rescue.