Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
SUGAR
As described in historical dictionaries
Patronymica Britannica (1860)
SUGAR. L A corruption of Segar, Avhich see. 2. \Ir. Ferguson thinks it is a corruption of A-Sax. sigra, a victor.