The title comes from the author's wicked sense of humor.
Mary next door = =
The story that had to be told between Mary White, who transmigrated but has no memories of a past life, looks like a little girl but has the soul of an old woman, and James Potter, who is a local with the looks of a teenager but the mind of a toddler.
I'll try to stay fair and not bash either Slytherin or Gryffindor.