I don't think so, not specifically, anyway. Many, many fairy tales have their magic take place in the woods, and Alice in Wonderland (and Through the Looking Glass) both use that fairy tale structure. Think Little Red Riding Hood, Beauty and the Beast, Hansel and Gretel, Snow White, etc - in all these tales, the mundane world is left behind when the protagonist enters the woods, which tend to be a sort of fantasy/magic mirror version of the obstacles they are actually facing in the real world. So, the reference could be to any fairy tale, really, and the promise that Michael, or whoever, is about to enter a magical mirror version of the real world.