Cory, ColoradoCory is a small unincorporated community within the boundaries of the incorporated town of Orchard City in Delta County, Colorado, United States. There is a U.S. Post Office in Cory, the ZIP Code for which is 81414.HistoryThe Cory, Colorado, post office opened on March 12, 1895. An early postmaster gave the community the name of his wife, Cora Hurshman.GeographyCory is located in Delta County at coordinates and elevation.