Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
WADDING
As described in historical dictionaries
Patronymica Britannica (1860)
WADDING. Perhaps the patronymical form of the il-Sax. Wade. Waddiugton, Waddingham, Waddingworth, &c., as names of places, seem to be derived from this source. According to Mr. D'Alton the name is of record in Ireland, from temp. Edward III.