Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
LYTE
As described in historical dictionaries
Patronymica Britannica (1860)
LYTE. A.-Sax. lyt, little— referring probably to the stature of the bearer. A good Chaucerian word. The Poor Parson is descriljed in the Canterbury Tales (Prologue 49.3, &c.), as a zealous visitor of his flock :—