Yorkshire is a town in Cattaraugus County, New York, United States. The population was 3,840 at the 2020 census. The town is located on the northern edge and in the northeast quadrant of the county. The area that would become the town was first settled circa 1810. The town of Yorkshire was formed in 1820 from the "town of Ischua". In 1827, the south par…Yorkshire is a town in Cattaraugus County, New York, United States. The population was 3,840 at the 2020 census. The town is located on the northern edge and in the northeast quadrant of the county. The area that would become the town was first settled circa 1810. The town of Yorkshire was formed in 1820 from the "town of Ischua". In 1827, the south part of the town was taken to form the town of Machias.
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