Fingal is a city in Barnes County, North Dakota, United States. The population was 92 at the 2020 census. Fingal was founded in 1891. …Fingal is a city in Barnes County, North Dakota, United States. The population was 92 at the 2020 census. Fingal was founded in 1891. Fingal was named and settled by immigrants from Fingal, Ontario, Canada.