Heaven - my DS is similar to your DD.

DS usually wakes up around 6am, then goes down for a nap around 9am. He'll usually sleep between 1.5-2.5 hours. Next nap he'll go down between 1.30pm-2.30pm, and again sleeps for another 1.5-2.5 hours. So, he can wake up from his second nap as late as 5pm - which means his bedtime would be about 8pm or later.

I just go with it - I'm already too tired to fight DS on sleep, lol.