Kathryn is a city in Barnes County, North Dakota, United States. The population was 66 at the 2020 census. Kathryn was founded in 1900…Kathryn is a city in Barnes County, North Dakota, United States. The population was 66 at the 2020 census. Kathryn was founded in 1900. It was named after the daughter of a railroad man. Kathryn is located at 46°40′46″N 97°58′13″W / 46.67944°N 97.97028°W.