Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
BESTE
As described in historical dictionaries
Patronymica Britannica (1860)
BEST. BESTE. This name has probably no connection with the adjective. In the H. R. it occurs as Le Beste, ' the beast,' a sobricjuet ; but there is one well-authenticated instance, in which it is a corruption of the Norman Basset. Inf. Stacey Grimaldi, Esq., F.S.A.