From Ancestry.com Wiki
Chesterfield is a town in Massachusetts. It was formed in 1762 and was previously called (New Hingham Plantation). It can be found in Hampshire county and is a part of the Northampton registry of deed district. For more information, contact the county at 422 Main St., Chesterfield 01012. On the attached map, Chesterfield is shown as 6 in Hampshire county.
For information about the state of Massachusetts see Massachusetts Family History Research.