Hancock is an unincorporated community hamlet in Morgan County in the U.S. state of West Virginia's Eastern Panhandle. It is located off Hancock Road on River Road along the Potomac River north of Berkeley Springs. Originally known as Brosius, its post office's name was changed to Hancock in 1948 to reflect its location on the Baltimore and Ohio Rail…Hancock is an unincorporated community hamlet in Morgan County in the U.S. state of West Virginia's Eastern Panhandle. It is located off Hancock Road on River Road along the Potomac River north of Berkeley Springs. Originally known as Brosius, its post office's name was changed to Hancock in 1948 to reflect its location on the Baltimore and Ohio Railroad mainline across the river from Hancock, Maryland.