Early riser, when to do first nap?

Sonia

My daughter wakes up between 5-5:30 lately. She used to wake up between 6:00:6:30, and I was able to put her down for a nap between 11:30-12.

Now that she wakes up so early, she gets so tired around 9-9:30. I’ve put her down for a nap around this time, but it’s usually short, and she refuses a second nap later in the day. I’ve tried pushing her towards an 11 am nap, but she is completely overtired by that point. Anyone go through something similar or have suggestions?