Jamestown West is an area designated as a Census Designated Place located near Jamestown in Chautauqua County, New York. Also known as West Ellicott, the area population was 2,200 as of the 2000 census. Jamestown West apartments for rent comparison page shows most up to date rent information on Jamestown West apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.