Elwood Thomas Cooke (July 5, 1913 – April 16, 2004) was an amateur American tennis player in the 1930s and 1940s.

Elwood Cooke started playing tennis before his junior year at Benson Polytechnic High School.

He lost the singles final to future International Tennis Hall of Fame enshrinee Bill Talbert.

He was a naval officer during World War II, and was married to International Tennis Hall of Famer Sarah Palfrey Cooke.

[5] After he retired from tournament play, he was the head tennis professional at Sunningdale Country Club in Scarsdale, New York from 1961 to 1981.