Juilette,
I have always had a unsettled sleeper, never the deep sleep. In the last week I have slightly altered our routine. I now feed Eliza in her room in with her Peace Baby CD on and pull the blind. She has always been a fighter to feed wanting to look around and play. It has seemed to relax me as well as her and feeding hasn't been an issue and falling asleep in my arms. Maybe Hanna is picking up your anxious feelings about her inability to fall into the deep sleep.
Good luck
Bec