Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
GADD
As described in historical dictionaries
Patronymica Britannica (1860)
GAD. GADD. A-Sax. gad, a goad or spear. Halliwell quotes from an old MS. :
Origin: English
Region of origin: British Isles
Country of origin: England
Religion of origin: Christian
Language of origin: English