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 surnamesStocks
The Stock surname in historical dictionaries
Patronymica Britannica (1860)
STOCK. 1. The stock of a tree seems a very unlikely origin for a family name, yet Zouch and Curzon seem analogous, as does the Fr. Racine, not to mention the English Roots. 2. Parishes, &c., in cos. Worcester, Essex, Somerset, Dorset, and York.