The Hamptons refers to a number of places near the east end of Long Island. They are all in Suffolk County, New York, and they all have the word Hampton in their names:
... (W)
162
Democratic-Republican
George Clinton (162)
Charles C. Pinckney[?]
14
Federalist
Rufus King (14)
Other elections: 1792, 1796, 1800, 1804, 1808, 1812, ...