you're at the oh-so-happy 1 and a half nap stage! =) Heres what is suggested by the book "healthy sleep habits, happy child" (which is amazing a I totally suggest you get it).
You need to have her one "mid day" nap happen when she's ready for it (just before the 9:45 melt down). Slowly, every few days try to move the nap back by 15 minutes or half an hour. Eventually to goal is to hit an nap that starts between noon and 2 (I think). While you are making the transition and she's tired in the afternoons becuase her nap wasn't late enough, she needs an earlier bed time. As early as 5:30 or 6 is even suggested. And no, that shouldn't result in her waking up earlier. She needs more sleep.
When my daughter was about that age we started dropping the morning nap becuase she would play for most of it and then be difficult for her afternoon nap becuase she was overly tired. So, we stopped taking her afternoon nap and started doing just one nap at 11 am (thats waht I could get her to) and nap until around 1, then we'd put her to bed no later than 6:30. She will now be 2 next month and we have been able to move her naptime back to 12:30-1 ish and she goes to bed around 7 (although lately she's been waking up too early and being cranky and tired during the day, so we've been putting her to bed between 6 and 6:30 to solve that problem). Good luck with the transition.