As described in historical dictionaries

An Etymological Dictionary of Family and Christian Names (1857)

(origin: Local) The brook by the hillock; from cock, a hillock, and burn, a brook.

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


Patronymica Britannica (1860)

COCKBURN. Probably from either Cockburnlaw, co. Berwick, or from Cockburnspath in the same county. Tliere is a mountain in Berwickshire wliich is so called.

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


Surname type: Location or geographical feature

Origin: Celtic

Region of origin: British Isles

Country of origin: Scotland

Religion of origin: Christian

Language of origin: Gaelic

BritishSurnames.uk is a Good Stuff website.