Chesterfield Historic Town Site Once a growing community on the Oregon Trail, Chesterfield, is now a ghost town. Many of the historic homes and buildings there have been restored and are worth touring. Established in 1879, Chesterfield was a Mormon settlement, and many of the 23 buildings that survive today are evidence of that way of life. The entire site of Chesterfield is now on the National Register of Historic Places. Chesterfield Foundation -The history and photos of Chesterfield Idaho.