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