Thomas Henry Baker (May 6, 1934 – March 9, 1980) was a left-handed relief pitcher in Major League Baseball who played for the Chicago Cubs in 1963.

In 1954, Baker was signed as an amateur free agent by the St. Louis Cardinals.

Baker made his major league debut on August 2, 1963, with the Cubs at age 29.

He played his final major league game for the Cubs on September 14, 1963.

He finished with 18 innings pitched, striking out 14 batters, and playing in a total of 10 games.