What is the setting in the novel, Through the Looking-Glass: And What Alice Found There?

The novel opens with Alice's cat, Dinah, grooming her kittens. Alice gently scoops up a black kitten and scolds it for poor manners. As she half talks to herself and half sleeps, Alice imagines going into the Looking-glass House behind the mirror surrounding the fireplace. One thing leads to another, and Alice finds herself in the Looking-glass room.