One of my sons really likes "Gypsy Rover". I sang a version of it when I was working at the Renaissance Faire. My other son has been requesting lullabies from almost every night. One of his favorites is an old Swedish lullaby - again, one I used at the Renaissance Faire.

I think it really doesn't matter what the song is - it's more of making the connection with your child and spending time together. (But then, you already know that, having a daughter).