Richard "Bill" Armstrong (July 16, 1873 – August 4, 1938) was an American college football player and coach. He served as the head football coach at the College of William & Mary in 1896, the United States Naval Academy from 1897 to 1899 and the Hampton Institute—now known as Hampton University—in 1912, compiling a career college football coaching record of 24–8. At the Naval Academy, Armstrong also coached rowing from 1897 to 1899. Armstrong married Rosa Fairfax Lee in Hampton, on April 21, 1906. He later worked in the oyster growing, farming and real estate professions.