Fell in Love with a Girl/Boy

You know that song by the white Stripes? The one that kinda got them recognised? Fell in Love with a Girl?

Well, there is this girl named Joss Stone who does another version of it with the Roots called "Fell in Love with a Boy".

Normally, I'd just think it was a cover of the White Stripes, but the thing is that Joss' version is twice as long as the White Stripes' one. So the question is this: did the White Stripes write this song? If not, who wrote and who performed it?