Albion is a town in the northeastern part of Oswego County, New York, United States. The population was 2,009 at the 2020 census. Prior to 1788, Native Americans would come to the area to hunt and fish for salmon during the spawning season. They called it Alkineaur, meaning "sand bank." The territory was annexed to the state of New York on …Albion is a town in the northeastern part of Oswego County, New York, United States. The population was 2,009 at the 2020 census. Prior to 1788, Native Americans would come to the area to hunt and fish for salmon during the spawning season. They called it Alkineaur, meaning "sand bank." The territory was annexed to the state of New York on March 1, 1788.