J.G.
Noone will agree with this but this is what I did because the lying down to help fall asleep drove me crazy.....
Read to her, sing to her, pray with her, give her kisses and hugs, tell her good night.
If she screams and cries you could say "sweetie, you don't have to go to sleep but you have to stay in your bed." turn a lamp on, give her some books, close the door. Mine always fell asleep after "reading" for awhile.
(I would give my 3 year old her entire collection of Dora books to look at)
I always told my kids that mommy time starts around 8 - gotta clean up, need to talk to daddy, etc., etc.
My girls love me, are nutured and happy kids. They are also sleep champs at 10, 8 and almost 4.