Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
RACE
As described in historical dictionaries
Patronymica Britannica (1860)
RACE. In Yorkshire, a rivulet; in the South, a mill-stream ; also the meeting of two tides, as Portland Race. The H.R. Race, without prefix, apiears to point to some other origin.
Origin: English
Region of origin: British Isles
Country of origin: England
Religion of origin: Christian
Language of origin: English