The District Five Schoolhouse, also known as the Fenner Hill School, is a historic former school building at 449 School Street in Webster, Massachusetts. Built in 1835, the one-room schoolhouse was the first school building built by the recently incorporated town of Webster. It served the town as a school for 100 years, after which it was used by the school system for storage. In 1966 it became the museum and headquarters of the Webster-Dudley Historical Society. The building was listed on the National Register of Historic Places in 1991.