He was succeeded by his son William Battie-Wrightson (1789–1879), who at various times was MP for East Retford, Hull and Northallerton.
Ihm folgte sein Sohn, William Battie-Wrightson (1789–1879) nach, der einige Male Parlamentsabgeordneter für die Wahlkreise East Retford, Hull und Northallerton war.