Mount Craddock is the second-highest point of the Craddock Massif which includes Mount Rutford (highest point), Rada Peak, and Bugueño Pinnacle. Rutford was named for R. H. Rutford, Antarctic geologist and colleague of Craddock. Rada Peak and Bugueño Pinnacle were named for Camilo Rada and Manuel Bugueño, climbing partners of Damien Gildea, a leading Antarctic researcher and climber.