Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
We don't have any stats on how common this name is. This is probably because it's very rare in the UK.
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Related and similar surnamesWoodin
The Wadding surname 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.