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 surnames
The Eloy surname in historical dictionaries
Patronymica Britannica (1860)
SAINT ELOY. Ste. Eloi is in the arrondissement of Andeli in Normandy. Chaucer's Prioress used to swear by this saint : —