The sidesaddle Quarterback and Tennessee Formation

Football’s early quarterbacks aligned directly behind the center or slightly offset to receive the snap as the ball rolled or bounced back after the center snapped the ball with his foot. Since the player receiving the snap -typically the quarterback- could not run with the ball, he quickly tossed or handed it to a teammate. — www.footballarchaeology.com
The old Sidesaddle Quarterback and Tennessee Formation are dusted off and examined along with their originator and usage by Timothy P Brown.