Try to help her fall asleep more often. She should be awake for 60-90 minutes, then sleep for 2h (then repeat). All this during day. Dont get me wrong, its nothing to worry about, but babies do progress faster when they sleep more. Play some mozart melodies, rock her to sleep. It will help you relax for a while as well. You too need rest.
My baby boy is 11 weeks old and he started sleeping through night even before he turned 1 month old. Now he sleeps around 10-12h per night (yes it's true!), without waking up. Then he sleeps like 3-4 more hours in total during day.
Every baby is different, but when they are tiny, they sure need a lot of sleep.