Fancy Gap is a census-designated place in Carroll County, Virginia, United States. The population was 237 at the 2010 census.Fancy Gap is located at 36°40′12″N 80°42′3″W / 36.67000°N 80.70083°W / 36.67000; -80.70083.According to the United States Census Bureau, the CDP has a total area of 4.1 square miles, all of it land.As of the census of 2000, there were 260 people, 110 households, and 81 families residing in the CDP. The population density was 64.2 people per square mile. There were 156 housing units at an average density of 38.5/sq mi. The racial makeup of the CDP was 99.23% White, 0.38% Native American, 0.38% from other races. Hispanic or Latino of any race were 0.38% of the population.There were 110 households out of which 25.5% had children under the age of 18 living with them, 67.3% were married couples living together, 5.5% had a female householder with no husband present, and 25.5% were non-families. 23.6% of all households were made up of individuals and 13.