If she was in child care she would have started working towards one nap at age 10 months. Kids that go into the toddler room at their first birthday have 1 nap, period.
In the baby room the infants pretty much eat, sleep, wake up and play, eat, go to sleep, etc...on their own schedule. Once they get older though the go down to one nap and sleep on a cot so they will sleep in the next room up.
In the toddler room they have circle time, play time, outdoor play time, art, crafts, table work time, lunch, nap time (11:30am-2:30), wake up have snacks and then go play some more. They can get into serious trouble with the state in their licensing worker comes in and sees a child sleeping on a cot when they come in to do their monthly inspection.
I'd say at this age a toddler is able to take that one long nap after lunch then stay up. IF they need another nap it should be a short nap around dinner time. Then our kids stayed up until 9pm. They went down and stayed down until 7:30-8am.
You are trying to micro manage her sleep. She doesn't need to sleep 13 hours per night. She's a toddler and should be waking up during the night starving with that many hours without food....
Once the kids in child care turn 2 they go into a pre-school classroom and they take a shorter nap and often don't nap around dinner time.