B.S.
Tough one! I am sure other moms will have more advice on this one, but here are a couple of things to try.
My friend had to cut out ALL naps at about 2 years old with her 2 kids.
It sounds like you may be missing her opportune time to fall asleep. 11pm is a bit late. Try putting her down by 8:30, even if it is a fight to get her to sleep. That combined with no naps may give her (and you) a good night's sleep.
I fall on the complete opposite end of the spectrum with my 22 mo DD. She must have a good nap (1 1/2 to 2 hours) every day. And if I put her down too late, she will wake up early and not get a good night's rest. I spent a lot of time missing her sleep cues, but now I know she has to be in bed between 8 and 9 pm, or I WILL PAY FOR IT LATER. To me, it seems your baby is sleep deprived and showing classic signs of that. I have included several good articles for you to read. Combining them may help you come up with the plan that works perfectly for your baby. Because, YES, all kiddos are different. :)
One other thing, even though it appears she sleeps better in a twin bed, maybe it is too much responsibility for her. ??? That is a big question mark. Our daughters are exactly the same age, and she REALLY wants to sleep in the big bed, not her crib. But I know for her, there would be WAY too much temptation for her to actually want to sleep. Just a thought.
http://www.earlychildhoodlinks.com/parents/articles/regul...
http://www.babycenter.com/expert/baby/babysleep/8131.html
http://www.askdrsears.com/html/7/T070200.asp
http://www.askdrsears.com/html/7/T070300.asp
Hang in there!!