Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
BONNET
As described in historical dictionaries
Patronymica Britannica (1860)
BONNET. Fr. a Cap. Probably allusive to some fashion adopted by the first bearer.
Region of origin: Europe
Country of origin: France
Language of origin: French