My two year old son Tristan is also having hard time to sleep, as he has given up on naps and would go to bed late. This is what my husband and I would do, we lay him down on his bed, turn the tv on in his bedroom and put DVD movie on, like Finding Nemo or CARS, or Shrek, it depends on what movie he picks. Then we would play the movie, turn the lights off and leave the room with the door shut, leaving Tristan on his bed to watch his movie. By end of the movie when we check on him, he's asleep.
Maybe that would work? Have your daughter watch movie or television and that would make her fall asleep? It works on our son.