At this age, naps change. 2 naps a day is common, one in the morning and one in the afternoon. Although my children are unique (my two youngest only had 1 nap a day from birth.) After meal time I play with my baby for a little while and then I say (at nap time, which is 12:30 for my 12 month old) "It's time to take a nap." I sing a tiny bit and cuddle her, and then I lay her down in her bed and tell her goodnight.
she might fuss a bit but she'll get used to it quickly and go to sleep. I think it took two days for mine to get used to the schedule.
For your daughter, a nap around 9:30 and 1:30, give or take an hour, is typical if I remember correctly from my years working in day care.
S., mom to four girls ages 12 months to 5 years!