As described in historical dictionaries

Patronymica Britannica (1860)

TITE. 1. The French orthography of Titus. 2. An Oxfordshire provincialism (now obsolete) for a spring of water. Ilalliwell.

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


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