Joseph Henry Mulvey (October 27, 1858 – August 21, 1928) was an American professional baseball third baseman. He played in Major League Baseball (MLB) from 1883 to 1895 for the Providence Grays, Philadelphia Quakers/Phillies, Philadelphia Athletics, Washington Senators, and Brooklyn Grooms. Mulvey survived a gunshot wound to the shoulder with Providence in his first major league season, and he became best known as a third baseman for the three Philadelphia teams between 1883 and 1892.