As described in historical dictionaries

Patronymica Britannica (1860)

ALEX. A nickname of Alexander ; or perhaps Allic or Alick, a Domesd. name.

Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.


BritishSurnames.uk is a Good Stuff website.