It is the third book in the series, in which Jo, Bessie and Fanny introduce their mother's friend's daughter, Connie, to Silky, Moonface, Saucepan Man and all the rest of their friends in the Magic Faraway Tree

At first Connie does not believe such a place exists but she ends up liking the Faraway Tree very much, and is sad to have to leave. Connie is also very snoopy leading to the nickname Curious Connie