Great news!! So if you lo woke up at 5 a.m, and then at 6 a.m, I'm sure she was hungry at 5 a.m. and that's why she woke up!!
When your lo wakes from naps and she seems ok and happy, I would try leaving her in the cot for about 30 min, sometimes, they go back to sleep. When my lo started taking 45 min naps, I used to go to get him as soon as he woke up, even though he was happy, but then, one day, I decided to leave him there until he cried, and he didn't cry, he just stopped chatting and fell asleep. Sometimes, he goes back to sleep, and sometimes he doesn't, so try it, may be your lo will surprise you and go back to sleep by herself.
Hugs,
Alexa