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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The Wilbraham surname in historical dictionaries
Patronymica Britannica (1860)
WILBRAHAM. An estate in Chesbire. The earliest recorded ancestor is Richard de Wilburgham of "\Vilburgham,in Cheshire, who was living 4.3. Henry III. Shirley's Noble and Gentle len. The family were settled there about the time of Henry II. B.L.G. Professor Pott rather absurdly deduces the name, so clearly accounted for, from a union of the English and Hebrew personal names, William and Abraham !