It sounds like pretty normal behavior to me. My 1 1/2 year old APBT does the same thing. Try using aromatherapy to make your puppy sleep more soundly. Calming scents like lavender and green mandarin work well. Just put a small drop on her neck or chest (never around her eyes or directly on her nose or mouth). If you like candles, beeswax candles smell great and are stress relieving as well. Hope it works out!
