Dayton is a town in Sheridan County, Wyoming, United States. The population was 757 at the 2010 census.HistoryDayton was named after Joe Dayton Thorne in 1882 because he was one of the founding fathers of the city. Wyoming's first rodeo was held here in the 1890s and Dayton elected the first female mayor in Wyoming.Dayton was home to the San Benito Monastery, a Roman Catholic monastery associated with the Benedictine Sisters of Perpetual Adoration, from 1989 to 2014.GeographyDayton is located at the confluence of the Tongue River and The Little Tongue River. It is on US Highway 14, just east of the Big Horn Mountains.According to the United States Census Bureau, the town has a total area of 0.53sqmi, all of it land.Demographics2010 censusAs of the census of 2010, there were 757 people, 308 households, and 210 families residing in the town. The population density was 1428.3PD/sqmi. There were 336 housing units at an average density of 634.0/sqmi. The racial makeup of the town was 93.9% White, 4.2% Native American, 0.3% Asian, 0.4% from other races, and 1.2% from two or more races. Hispanic or Latino of any race were 3.0% of the population.