Where does Hannah find herself? How does she decide to act? What is her new name?

Hannah finds herself inexplicably in a different place and time. Her new name is Chaya, and Hannah decides to act as if she's going along with the game.

"Oh, I get it," she muttered, though she didn't really. But she decided in that instant to play along. Whether it was a dream or an elaborate game, she'd show them all she was a good sport.

Chaya. But that's my Hebrew name, Hannah thought. The one I was given to honor Aunt Eva's dead friend. Weird.