Joss StoneRob ThomasStop Draggin' My Heart Around Rob Thomas, Joss Stone cover 'Stop Draggin' My Heart Around' Rob Thomas and Joss Stone covered the Stevie Nicks/Tom Petty 1981 hit duet “Stop Draggin’ My Heart Around” at the 2nd Annual Fashion Rocks on Thursday, September 8, kicking off New York’s Fall... September 7, 2005