Meshach A. "Mesh" Tenney (November 16, 1907 - November 6, 1993) was an American Thoroughbred horse trainer.From Arizona, Tenney began his career as a Thoroughbred trainer in the western United States in 1935. He won the Santa Anita Derby three times (1955, 1956, 1963) and was the leading money-winning trainer in the United States in 1962 and 1963.Tenney is best remembered as the trainer of Swaps, who won the 1955 Kentucky Derby and the Eclipse Award for Horse of the Year in 1956.