Hi Victoria, lose heart.
I've been on the side of both coins, FTWM as well as SAHM, I know it is never easy, whichever side you are on.
The blessing in this is that your child is active and happy. There are children who want to play and be active but yet they can't.
I know how sleep deprived moms can get when their kids don't sleep well. Know that all these are passing phases, and you'll be surprised that it will pass, and especially once you let go of the issue to God.
Speak gentle long words to your child before as as she is falling asleep, pronounce good deep sleep sleep over her, speak that she will sleep till dawn, etc.
Children at like sponges, they soak up our tension, our fears, our worries, and so imagine, when we do it the other way.