imsmum...sorry it took me so long to reply, I couldn't get onto the forum - the book is called "Solve Your Child's Sleep Problem's" and though this may scare alot of people off, the author is Richard Ferber, he is the big CIO theorist. I don't personally agree with CIO and on that end of things am a devoted BW, however he has really helped me gain more insight into the sleeping patterns of my lo. It has been
extremely useful and I refer to it (and my BW) every single time.
With all that said, Georgia went through a period of time where she would wake no later than 5:30 - it nearly killed me, so I know how you feel. I decided that despite her being ready to start her day that this was way too early for me. After reading through the above book I realized that she was having trouble transitioning into that last stage of sleep so we did the PD with her in the am and it took at least a week of really being consitent and sticking to it for it to work - I also had to come to terms with her maybe needing to go to one nap and possibly a later bedtime but always one thing at a time, right? Periodically this would creep back up but we decided as well that some days we just may not be able to get her back to sleep but would not take her out of her crib until 7:00...so she could play or we would do PD until 7:00 and then it was time to start her day.
if that isn't it...
It sounds like your daughter is starting her day at 5:00 and having an early nap at 7:30 (which may throw the rest of her day off) - in the book it's called an "early sleep phase" and what they suggest is to push her whole day back beginning at the time you would like her to wake, for example 7:00 am, so (you may have to do this gradually) you would start with not letting her go back to bed, keep her up until an appropriate nap time and so eventually all her naps, meals and bedtime would coincide with her later wake time (in this case 2 hours later)- remember that we can always adjust their sleep patterns but not the amount of sleep they require (19 months app. 11 hours pm sleep, 2.5 nap).
does she have one or two naps? how long are they? does she cry when she wakes at 5:30 or is she happy and ready to go? what time does she go to bed?
at 21 months (and probably since she was about 17 months ) this is what Georgia's schedule looks like
7:30 ish
wake
8:00 breakie
12:00 lunch
12:30 nap (2-3 hrs)
6:00 supper
7:15 ish bath
8:00 bedtime
if she wakes before 7:00 we try to get her back down
hope this helps - keep me posted