Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
LUXFORD
As described in historical dictionaries
Patronymica Britannica (1860)
LUXFORD. The Luxfords of Sussex bear arms closely appi'oximating to those of the very ancient family of Lunsford of the same county, of whom, according to tradition, they are a liranch.