P.K.
I think you could start by doing a couple test nights, prior to giving up the pull-up completely just to see if she's ready and dry in the morning.
Get her used to not drinking alot of fluid after supper and only a tiny bit of something to drink with a night time snack or before bed. (We will sometimes do ice chips if we've already gone over the liquid limit for the evening. There is actually less water involved, and the will quench the pallet.)
But, the last thing before going to bed ins a potty-break. Then, see if she is wet in the morning. If yes, then either reduse the water intake again, or perhaps she's not ready. She needs to feel the urge to go and have the muscle control to stop herself. If the muscles are not there, she won't be ready and will surely fail.
Also, tell her it's ok to come and get mom/dad in the night when she wakes up and feels like she has to go potty.
I'd also suggest a waterproof mattress cover and an extra set of sheets/mattress cover because when ou make the switch to underwear at night, there will be accidents.
Goodluck.