Whistle Stop, I think someday you're daughter will be singing that song to her children. Then you'll get another Daddy Point plus a Grandpa Point.
"Man of Double Deed" is always nice. It's always important to work violence into a lullaby. I personally lean towards "Love's Old Sweet Song." I have no children, so I'm speaking without experience.
My mother used to sing The Beatles to me. Now, I listen to The Beatles regularly. They are not my favorite band, but some of their songs have personal significance that I can't explain.
I especially remember "Blackbird", "I Will", and "Michelle, My Bell."