LAMBERTS. The Lamberts were a large family in 18th-century Hunterdon County. The earliest to arrive in Hunterdon was John Lambert (born 1687) and wife Abigail Bumstead (born 1685). Their sons, Gershom and John, and grandchildren played significant roles in the history of Hunterdon. Their great great grandson John was a U. S. Senator during the War of 1812.