Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
GRIEVE
As described in historical dictionaries
Patronymica Britannica (1860)
GRIEVE. A-Sax. gerefa, pra?ses, like the Germ. {iraf. In Scothind the manager of a farm, or superinteudent of anyAvork— a reeve. It has been A'ariously corrupted to Greive, Greaves, Greeves, &c.
Surname type: Status name
Origin: Celtic
Region of origin: British Isles
Country of origin: Scotland
Religion of origin: Christian
Language of origin: Gaelic