Glasgow is a census-designated place in New Castle County, Delaware, United States. The population was 15,288 at the 2020 census. During the American Revolution, it was known as Aikentown, named after tavern owner Matthew Aiken. The town was renamed by Scottish settlers after the city in Scotland. La Grange and the James Stewart House are listed …Glasgow is a census-designated place in New Castle County, Delaware, United States. The population was 15,288 at the 2020 census. During the American Revolution, it was known as Aikentown, named after tavern owner Matthew Aiken. The town was renamed by Scottish settlers after the city in Scotland. La Grange and the James Stewart House are listed on the National Register of Historic Places.