Leesburg is a village in Highland County, Ohio, United States. The population was 1,314 at the 2010 census. Leesburg from 3000 feet. jpg Aerial view of Leesburg, Ohio. Central business district in Leesburg, Ohio.. JPG Central business district in Leesburg, Ohio. Leesburg, OH. JPG Central business district in Leesburg, Ohio. Leesburg Railroad Depot. JPG Former railroad depot in Leesburg, Ohio.