As described in historical dictionaries

An Etymological Dictionary of Family and Christian Names (1857)

(origin: Latin. Local) From the city of Hadria. Gesner derives it from the Greek ??, great or wealthy.

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


Patronymica Britannica (1860)

ADRIAN. A personal name, the Lat. Hadrianus.

Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.


Surname type: From given name or forename

Region of origin: Europe

BritishSurnames.uk is a Good Stuff website.