Hi E. S,
I have a totally different perspective from the other suggestions.
Your daughter is sleeping 11 hours overnight... she is waking at 530 because she has had enough sleep, whether you are ready or not :)
So, she's not willing to conform - maybe it means she will be ambitious and a real go getter when she's ready to go to school :) Instead of trying to change her, why don't you try changing YOUR schedule. I know it sounds simplistic, but if you need more sleep, go to bed earlier.
My two older kids are polar opposites of eachother. the 12 yr old is up with the sun,... and always has been. the 10 yr old could stay in bed forever! my new baby has leveled out a bit and is starting her day by 530 as well, like yours. My son (almost 1-1/2) is rising lately between 630 and 700 (he goes to bed at 715 pm. I have found that when you try to keep them up in an effort to make them sleep late, it fails and you're left with one cranky child... her sleep patterns may change naturally in the future, like when she drops one of those daytime naps - my son dropped his around his first birthday and now only takes one nap.
So anyway, to acoomodate these staggered wake up times, I go to bed at 9 pm - I NEED my sleep... minimum of 8 hours or I am a cranky monster. I really hate being rushed in the morning with a crying baby... scurrying around to get a bottle ready and then not being able to brush my teeth for 20 minutes. I get up before the baby does (at 5 am) - get my teeth brushed, turn the coffee pot on,.. get her bottle ready and then she's up.
My husband leaves the house at 6 am, and when I was working I had to be out the door by 715 (with the two older kids).
I couldn't do it without my morning coffee :) Thank you Juan Valdez! LOL!
Good luck to you...