Hi there!! Sorry you're having a tough time!!
I think your lo may be ready for having longer A times and dropping the catnap. The catnap may be causing the EW. I just went through the same thing. My lo is 5.5 months and 2 weeks ago, he started waking up at 5:30 a.m, then 6 a.m, and so on. Sometimes, he would have a crib party and then go back to sleep, but sometimes he would stay awake until I got him.
So, first of all, if your lo wakes up early, but doesn't cry, then ignore her. Don't go to her, we don't want to encourage the EW so that it becomes a habit. If your lo cries, then go to her, and try to put her back to sleep. If she is hungry, feed her, but if she is not hungry, then don't feed her.
By having an EW, she is making up the extra A time she is not getting during the day, so we need to give her that A time in the day and not in the early morning.
If her naps have been getting shorter too, then I think she may be UT. She may be ready for more A time. Try to increase it by 15 min and see what happens. If this doesn't help, we can increase it even more. But let's do it little by little. Does this make sense?
Once you drop the catnap, then you'll get rid of the EW. In the meantime, let your DD take the catnap, but then move bedtime a bit later so that we give her extra A time. IYKWIM?
Hope this helps,
Alexa