All three of my kids stopped napping altogether by 2; my oldest was around 15 months. They needed 6-7 hours of sleep at night.

I needed rest from them during the day, so they were required to have quiet time in their rooms until they were about 4 1/2. They also went to bed at nine until they started high school. They didn't go to sleep - they just went to their rooms and made very little noise so as not to annoy us. smile