Samgas, babies have a much shorter sleep cycle than adults only about 45 mins compared to our hour and a half. This means that they might well wake up after coming into a period of very light sleep after this time. I used to find it almost impossible to get my son to sleep for longer than this at lunchtime, but by making sure that he had regular naps even if they weren't as long as I would have liked he seemed to get through the day.
I read that a baby that age would find it difficult to be awake for more than about 2 hours at a stretch without becoming overtired. This means that if they get up at 7 they are ready for a nap at around nine. Assuming they sleep for 45 mins/1 hour they are ready again to sleep about 12ish. If you can manage to get her to have a longer sleep in the middle of the day this would be better as she will make it through the rest of the day more happily. Only now that Alexander is 81/2 months old am I finding this to be easier as he is wearing himself out more in an effort to crawl and stand,and naturally sleeping for about 1 1/2 hours but I think that the theory is sound even if the practice is a bit more tricky
Your nap times sound reasonably OK to me from my experience, except that possibly the lunchtime one is a bit late if she has been awake from 10 in the morning she is likely to be exhaused by 2.
I also found that my son needed to not be hungry put down - obvious I know, but have you got regular feeding times? I only ask because she may only want short naps if she is waking up feeling hungry. For instance I used to feed my son at 11ish, and try to start settling him for a nap at 12ish (he was having mammothly long feeding sessions at that point). If he then slept well that was great, and because I knew he wasn't hungry I could encourage him to sleep again if possible.
I used to put the moniotor on and be there at the first murmur in an effort to stop him waking properly.
I know that all the books advise against it but I also have used a dummy to help calm him down and if he does fall asleep with it always pluck it out again.Sometimes a quick suck on the dummy if he seemed to be waking after 45 mins at lunch was enough to get him back to sleep - either that or stroking his face/cuddling without picking him out of his cot.
In the afternoons I would always make sure he was awake by 2 hours before bedtime so he would be tired enough to sleep. If this meant waking him up so be it.
Like Chairmum I also found that bathime can be a great distraction.
Walking in the park in the afternoons used to send him to sleep (he no longer has an afternoon nap but is in bed by 7). Many was the time I would get almost home again to find he had just dropped off and know that if I came indoors the temperature change would wake him up (he was born in December), so I would have to go for another walk around the block.
Don't be too despondent about the length of the nap. Its surprising how even the shortest nap can revive a baby so long as they have them regularly.