The East Hampton Village Zoning Board plans to reopen the hearing on an unusual application from John and Suzanne Cartier, who seek to move their 2,575-square-foot house to the rear of their lot, add 182 square feet to it, and then construct a second 2,486-square-foot residence. The Cartiers’ intent is to live in the new house, while their children and grandchildren take up residence in the existing one. The property, at 105 Main Street, shares a driveway with the East Hampton Historical Society’s Osborn Jackson house.