 Early Baptist Elijah Baker (Baptist) also arrived near Accomac before the American Revolutionary War, and was likewise imprisoned for unauthorized preaching, but eventually also had that case dismissed.After the creation of the present-day Accomack County, the court convened alternatively at Pungoteague and Onancock until the 1690s when it shifted to the house of John Cole at the site that later became the town of Accomac, then known by the name Matompkin.A brick courthouse was built in 1756 and the surrounding settlement became known as Accomack Courthouse.