Of his ten sons and seven daughters the following are surviving: Robert, Horace and Walter, Mary, Dorothy and Susan.

Arms of Walpole impaling Burwell: Or, a chevron ermine between three bur (oak) leaves erect vert/proper (Burwell) (Burke, Sir Bernard, The General Armory, London, 1884, p.151 "Burwell of Woodbridge, Suffolk"). (Quercus macrocarpa, the bur oak, commonly spelled burr oak, is a species of oak tree native to eastern North America). The arms are similar to those of the Lent family Vert, a chevron ermine between three leaves argent (Papworth, John Woody, Alphabetical Dictionary of Coats of Arms Belonging to Families in Great Britain and Ireland, Vol.I, London, 1874, p.453, and Burke, 1884, p.601)