Frank C. Johnson was the fourth head college football coach for the University of Richmond Spiders located in Richmond, Virginia, a position he held for the 1889 season. His career coaching record at Richmond was 1 wins, 2 losses, and 0 ties. This ranks him 26th at Richmond in total wins and 23rd at Richmond in winning percentage. He died of a malaria or typhoid fever at the home of his father, a prominent jeweller, in 1890.

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