Arthur, William (1857) An Etymological Dictionary of Family and Christian Names. New York: Sheldon, Blakeman. 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 surnamesWhiteman
The Whitman surname in historical dictionaries
An Etymological Dictionary of Family and Christian Names (1857)
From wight, in old English, lively, quick, and man, or from the Dutch, wight, weighty, ponderous, Wightman, a stout man, or it may be, after all, simply White-man.