Hi and welcome you have come to the right place!
For that 1st nap, it common that they will have a shorter awake period. So if she could never make it to 9, start w/ 8.30. Then as she gets a bit older and you see is isn't as tired...move it another 15min. That does mean though that you will have some A time after she wakes before the next feed.
I would recommend you try a few things for the 45-min napper:
-start w/ shh/pat when she wakes to help her resettle. Don't give up it usually took me 20-30min to get her back to sleep.
-if that doesn't work you could try pu/pd (have a look at branwen's post as she recommended).
-You could also go in before the 45min (Wake to sleep)
This worked about 50% of the time for us while breaking the 45min habit. Here are two options:
Jane (one of the nap moderators) did this w/ success for her king of short naps. I set my timer, in case I got busy. When it near the time, I oh-so quietly crept into his bedroom, once he stirred, I placed one hand on his back and one of his thigh. I didn't say anything, make any sound. Just as subtle as possible. I stayed like that until he returned to deep sleep, and slowly lightened the pressure of my hands.
I also set my timer (for 30min if your LO wakes then) and crept into her room. I had a drawer full of paci's so I didn't have to dig in the crib for it. As soon as she stired, I lightly put the paci to her lips. She took it, i would move out of sight and sometimes she would right back to sleep. If she opened her eyes and saw me, forget it. I would have to do shh/pat for 15-30mins to get her back to sleep.
Hope this helps.