Joseph Gordon Mueller (December 10, 1922 - September 7, 2006) was a relief pitcher in Major League Baseball who played briefly for the Boston Red Sox during the 1950 season. Listed at 6' 4", 200 lb., Mueller batted and threw right-handed. A native of Baltimore, Maryland, he attended Loyola College in Maryland.
In eight relief appearances, Murphy allowed eight runs and 11 hits, giving 13 walk and one strikeouts in 7.0 innings of work for a 10.29 ERA. He did not have a decision or saves.
Mueller died at the age of 83 in Timonium, Maryland.