Lulu. I'm sorry you're having a tough time. We don't get much sleep in this house either, though I don't think it's as tough as yours! I am lucky enough to have good support from DH (when he's not working...).
The only suggestions I can think of is to use some relaxation techniques, like a bath, massage in low lighting and oil burner in her room, with a little relaxing oils burning. And a strict routine, and bed time EVERY time she goes to bed.
Good luck, there's nothing worse than that horrible tiredness every single day.

ETA, Wooohooooo!! I hope it all goes well!!