Some children do stop napping at this age. It sounds like her lack of sleep is not making her cranky, so I would talk to her pediatrician to make sure she doesn't have some hyperactivity going on. My son had this and he stopped napping at 3, and could go on forever. We didn't discover the hyperactivity until he got in kindergarden and he was unable to concentrate. I just thought he was an energetic boy. But I once had a woman come to me asking if I would babysit her 2 1/2 year old grandson. It was the grandmother and great grandmother raising the boy. Their problem was that their current sitter could not get him to nap and by the time she got home from work, he was unbearable. I took on the task, and here is what worked for me knowing that if you can get one this age to lay still long enough they will fall asleep. I had a teddy bear and I asked the boy if he would do me a big favor and he said yes. I told him that Teddy was so tired and needed a nap, would he lay down with him until he falls asleep and then he could get up? Well, he wanted to be a big boy and help me and said yes. Within 15 minutes he was sound asleep. After about 2-3 hours he'd call me and I'd go get him asking if Teddy was asleep and he would say yeah. Then I would say well come on you can get up, and thank you for helping Teddy to go to sleep. Never was his nap mentioned, and his grandmother was very happy.
I think 7:30 is probably way too early for her to go to bed. None of my 3 boys did that - all of them were up until 9 or 10 at that age. I guess some kids need more sleep, and some kids need less.
I agree Rockrose. My grandson is 3 and he is up till 9-9:30.