Fallon... Oasis of Nevada and home of the Hearts of Gold Melons, Naval Air Station Fallon, Rodeos, Fallon Paiute-Shoshone Tribe and the Greenwave , a nickname for the alfalfa that blows in the lush pastures on farms in Fallon, located in Churchill County. History tells us a man named Mike Fallon set up a post office in 1869 and later sold the land to Warren Williams, who donated much of it ...