High Quality Content by WIKIPEDIA articles! Chilmark is a town located on Martha`s Vineyard in Dukes County, Massachusetts, United States. The population was 843 at the 2000 census. The fishing village of Menemsha is located on the northern end of town along its border with the neighboring town of Aquinnah. In 2005 it was confirmed to have the highest average property value of any city or town in Massachusetts.