Personally, my boys have never slept longer than 7 or 8 hours in one go. We have always had to do late bedtimes and early mornings for them - with little to no naps in between. When they began walking and playing harder, exerting more energy - they slept a little better... but not by a whole lot..
Does anyone in your family do something similar? I ask because my grandmother was just one of those people who could run on a tiny bit of rest.
My father was the same way, and I have a few of those traits as well, just not quite as strongly. It might be genetic. Perhaps she is just sleeping very soundly, and doesn't need to sleep as long. I know several people like that.
Best of luck!
(EDIT) I forgot to mention how hungry my boys are... I don't know much about girls but my guys eat like termites, and it has always been mandatory that there is a snack about 20-30 minutes before bed. I've read that this isn't necessarily the best time to eat or anything but there is no other option and I refuse to send my kids to bed hungry unless they've refused dinner. Which never happens.
Maybe feed her something very substantial before you put her down? With my oldest son, (who was by far the worst sleeper) ..I would feed him a bowl of cereal and applesauce + a 4 oz. bottle and he would sleep much better for me. He'd still wake up at about 6:15 am or so but that was WAY better than 4:30!! But, as a side note, they were all very, very large guys at birth (9+) so I don't know if that will work for your daughter.
If she's not hungry, and not dirty or wet, and you know for sure she's tired, then she might just be refusing to sleep because she doesn't want to be alone...
Look, I am not a fan of letting them cry it out. It has NEVER IN MY LIFE been effective and I find it cruel when they are less than 2 years old. They don't understand. There is no possible way to explain to an 11 month old - or whatever age - that they are going to go to bed now and you'll see them in the morning and everything is okay - all they see is you leaving them by themselves, in the dark, and not coming back. They have no concept of time, so 30 minutes can feel like forever - so of course they are going to get hysterical!
My MIL tried to let my 17 month old "cry it out" but he cried so hard he threw up all over the place from being so upset and freaked out. Case in point.
Feed her plenty, give her a hot bath and some teething tablets (Hyland's) and rock her for a while. Thats what I've done from day 1 and its done well for us - I hope you find something that works for you!!