T.F.
I can't belive you put your 4 year old to bed at 1, 2, 3 in the morning! You are being selfish and not considering what is healthy for your child. I understand it must be hard with your and your husband's schedules and you're trying to make things work, but you really need to put her health first. She should be in VPK, but even if you don't do that, she will be going to kindergarten soon and she needs to be on a normal sleep schedule. Sleep begets sleep. Sleep training when you are having issues can be time consuming and you need to have a lot of patience and you must be consistent. I had GREAT success implementing the Sleep Lady Shuffle, which is from "Good Night, Sleep Tight" - read more about it here: http://hubpages.com/hub/sleep-training-good-night-sleep-t...
Best of luck! Sorry if I came off harsh, I was taken aback by what you wrote that you were doing with her sleep schedule.