S.H.
Kids, generally wake at the same time everyday. My kids do and have done that since they were babies, and ALL of my friends kids do that too.
Regardless, of what time they go to bed.
They have an internal clock.
But if you put her to bed later at night, then she will have lack of sleep.
And this is not good.
When I was a child, I woke early too at the same time every darn morning. Kids. Childhood.
They wake early.
When she wakes early, just keep everything dark, do not engage or interact. Tell her everyone is sleeping, the sun is not out yet.
Tell her to be quiet if she can etc.
When my kids wake early, they KNOW to be quiet and not wake anyone. They will play quietly in the room next to the bedroom. And it is fine.