Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
WRENCH
As described in historical dictionaries
Patronymica Britannica (1860)
WRENCH. 1. See Olerenshaw. 2. I think it must have had another and more ancient origin, as it appears in its present orthography, and without prefix, in H.R.
Origin: English
Region of origin: British Isles
Country of origin: England
Religion of origin: Christian
Language of origin: English