To find out how many people live in Elkfork City, Kentucky, you can use the QuickFacts. These statistics are derived from the American Community Survey, the Census of Population and Housing, the Current Population Survey, the Small Area Health Insurance Estimates, and the Survey of Business Owners. Elkfork is in Morgan County, Kentucky. The population was 4,983 at the 2010 Census. The current unemployment rate is 5.5%, which is higher than the state's 4.2% and the national 3.9%.