I don't know much about baby birds (unweaned) but I've had my birds since they were 3 months old and they NEVER slept like that. I have a friend though, who's parakeet sleeps upsidedown. When they first brought him home and checked on him at night, they freaked out seeing him upsidedown with his eyes closed. Later they discovered it was his sleeping *style.* I never heard of birds lying on the ground though, and from what I know, its not normal. I don't know about baby birds and how they sleep though. Maybe you should call an avian vet and ask (as a general question) and see what they say. If they say its sounds like something's wrong, I think you should try to help the bird. Keep us updated!