Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
TE
As described in historical dictionaries
Patronymica Britannica (1860)
TE.MPEST. This family, vho are doubtless of Norman origin, are traced to Roger Tempest, temp. Henry I., who held three carucates and two oxgangs of land in the Shipton Fee, co. York. The name is difficult to account for : it may have reference to some storm which the first bearer encountered. Perhaps Cotgrave's definition of tempcste may help us to its real import : " stormed, blustered, tossed, vexed: hurried, harried, taJcn or overtaken- with, Irolwn or orerthron'ne hi, a tempest.''''