Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
ROUGH
As described in historical dictionaries
Patronymica Britannica (1860)
ROUGH. Has probablj no reference to want of polish. It is more likely to be local, and derived from residence near a roiifjli, that is, a place overgrown -with bushes, or a rough uneven ground.
Origin: Celtic
Region of origin: British Isles
Country of origin: Scotland
Religion of origin: Christian
Language of origin: Gaelic