As described in historical dictionaries

An Etymological Dictionary of Family and Christian Names (1857)

(origin: Local) This family derive its name from Stoche or Stoke, a place in Surrey, England, and tun, a word signifying an inclosure.

Arthur, William (1857) An Etymological Dictionary of Family and Christian Names. New York: Sheldon, Blakeman. Public Domain.


BritishSurnames.uk is a Good Stuff website.