You get to invent your own lullabies! You want to help your baby wind down and lull her to sleep, you have sung all the soft songs you know, creativity strikes and voila!
Here are my current two concoctions:
Aolani (to the rhythm of Are You Sleeping?)
Aolani, Aolani
Dry your tears, Ease your fears
Don't you worry
Mommy knows you're hungry
i am here, I AM here
Precious Baby (I don't know the rhythm, maybe I made one up?)
You're my little angel
Mommy's precious baby
If you only knew
How much He loves you
You're my little angel
Mommy's precious baby
He died for all not few
But now He lives, it's true
You're my little angel
Mommy's precious baby
Your heart He will woo
But you don't have a clue
Sleeping buddy 
Yep. Evidence. She discovered her thumb a week ago.