I think her awake time is too short hun and she's not settling because she's not tired
6am wake, 9am nap is 3 hours awake time which is just about average for this age, and why she can settle well and sleep 1.5 hours (a perfectly good nap!). May also be why she has started waking earlier as a long early nap can encourage that to happen. But then you are trying to get her back down only 2-2.5h after waking from her first nap and I can't imagine that she is tired enough to settle really. She may be showing tired signs from habit if she's always had a nap at that time, but not really tired enough to sleep. A couple of options for you: if you want to keep naps at around 9am and 1pm, then I would start waking her up from her morning nap. If it's typically 1.5h, try waking her after 1h15 instead and see if she will go down easier at 1pm. Shortening her morning nap that way may also help improve your early starts. The alternative option is to push her A time a bit, so probably start pushing her morning nap gently later and then slowly increase her A time between her first and second naps to 3h or so. You should find she will be more willing to go down
Would be nice if she can sometimes have a nap in her buggy if needed too...maybe I'm asking too much!!!
I think this is as much personality as anything - I've had one who wouldn't and one who would. You can always try it if you need to be out and if you have one wonky day, you can always get back on track the next x
