3 year old napping???

My daughter just turned 3 on Jan. 26. As of now she still takes a nap from about 1-2:30 everyday. She goes down for her nap fairly easy. If she does not have a nap she gets a little cranky in the evening a few hours before bedtime. But when she does have a nap she doesnt want to go to sleep. Her bedtime is 9:30 (she normally wakes up between 7:30 and 8:00). When she has had her nap we will put her to bed and she will lay back there and talk to herself and play with her "gummy" (her 'security animal') for a good hour or so before she falls asleep. My question is when should I stop giving her a nap? Is she too old for a nap now? How old were your kids when you stopped making them take a nap?