"... and all of a sudden I'm moving into the house next door to one that looks a lot like mine. You're going to ask me if I'm you, right?"
"Well, yeah," replied Jon, eyeing the girl. "You do seem to be a version of me me, and your name is obviously similar to mine. Although come to think of it, if your last name is Jones so is your whole family, and they couldn't all have gotten the name by reversing mine."
"I'm from a parallel universe," said Madison. "I don't know if that counts as being you or not. I wished for something interesting to happen, and... it did. I'm moving next door to a family like mine but reversed."
"Then you ought to reverse it, right? Everyone where you live will wonder why you disappeared. You wished for something interesting, so just wish that something..."
Madison finished Jon's sentence. "... interesting happened that wasn't me being transported, right? Then I wished to have all the details."
"And?" Jon waited for the strange but familiar girl to continue.
"Nobody was transported to another universe. There's a gateway between the universes. Would you care to guess where it is?"
"If I have to guess it must be guessable. So... my window?"
Madison smiled. "Maybe that proves you are me," she said. "Exactly. Look through your window, see into another universe. Open it up and exit through it, you're in the other universe. It works for my window too, but it's not pointed at your window. The wishes made the gateways and they made my family move here, but I'm still living in my own universe. But we're now next door if you use the gateways."
"Hmm. Is everything sex-reversed in the two universes?"
"I'm not sure," said Madison. "Who was the first president of the United States?"
"George Washington."
"Mine too," said Madison. "Obviously not everything is reversed. I don't think it works, anyway. What if someone dies while his wife is pregnant? What if the wife dies in childbirth? It would completely mess up history--we couldn't have every historical figure reversed."
"Well, what's the name of your best friend, Madison?"
"Oh, it's..."