Glasgow is a home rule-class city in Barren County, Kentucky, United States. It is the seat of its county. Glasgow is the principal city of the …Glasgow is a home rule-class city in Barren County, Kentucky, United States. It is the seat of its county. Glasgow is the principal city of the Glasgow micropolitan area, which comprises Barren and Metcalfe counties. The population was 15,014 at the 2020 U.S. census.