Arthur, William (1857) An Etymological Dictionary of Family and Christian Names. New York: Sheldon, Blakeman. Public Domain.
CONWAY
As described in historical dictionaries
An Etymological Dictionary of Family and Christian Names (1857)
(origin: Br. and Celtic. Local) From a river of that name in Wales, which issues from a lake in Merionethshire, and flows through a fertile vale of the same name, and enters the Irish Sea, at Aberconway; from Con, head, chief, and wy, a river.
Patronymica Britannica (1860)
CONWAY.* A pedigree of the Irish Conways derives them fi'om the Conwaj's of Worcestershire, whose lineage was deduced from Sir William Conais, High Constable of England at the time of the Conqueror. D'Alton.
Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
Origin: Celtic
Region of origin: British Isles
Country of origin: Ireland
Religion of origin: Christian
Language of origin: Gaelic