Hi, I agree that her A times need to be a little longer. So at 9 months, you would aim at something like this:
7am - wake up
10am - nap (1-1.5hrs)
2pm - nap (1-1.5hrs)
7pm - bedtime
She is too young to go down to 1 nap and I wouldn't cut her morning nap to 30mins. If you notice though that she is still fighting the afternoon nap, even after you have extended her A times, then don't let her sleep any more than 1hr in the morning. I would add 10-15mins to her morning A time every 3 days or so, cause if you jusm straight away to 10am, she will get overtired and might fight the nap altogether. Start with aiming for 8:45, then 9, etc...
Good luck and let us know how it goes
Layla