Yup. It is really hard to wake Anya up. I literally poke and prod and try to tickle her awake, and it will generally take me a good 10 minutes to realize success. She gets a little cranky- more like frustrated actually. It's as if she is saying, "Dad, stop being such a little bastard and let me sleep!"
Then she calms down and is fine. But it does take a while, for sure.