What is the song that plays in Pulp Fiction and The Upside of Anger that says, "You'll be a woman soon...."?

There is a song that I fell in love with and I can't figure out who it is by, or what it is called. In the movie The Upside of Anger, it played during the older daughter's wedding and in Pupl Fiction Uma Thurman sings it before the overdose. It mentions something about, "You'll be a woman soon...:".