Answer:
I wiggle and cannot see; sometimes underground and sometimes on a tree. I really don't want to be on a hook and I become a person when combined with “book”.
I go up and never come down no matter how hard you wish. As I get higher more wrinkles crawl onto your face.
I don't live within a house nor do I live without. Most will use me when they come in and again when they go out.
They took me from my mother's side where I was bravely bred and when to age I did become they did cut off my head. They gave to me some diet drink that often made me mad but it made peace between two kings and made two lovers glad.
What goes around the wood but never goes into the wood?
Give it food and it will live, give it water and it will die.