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