She's not ready... My daughter trained early (22 months), but she told us she needed to go and would not sit on the potty unless she said she needed to. She also woke up dry from naps and could pull down her own pants. If she went in her diaper, she immediately took it off. Put her in diapers (or pull-ups), and be patient. She'll let you know when she's ready.
On another note, don't feel like you have to wait until she's dry through the night. My daughter has been daytime / naptime trained for a little over a year now. We are no where near ready for night time. We're lucky to get 1-2 dry nights a week. That can take much, much longer.