Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
HALKETT
As described in historical dictionaries
Patronymica Britannica (1860)
HALKETT. Probably a diminutive of Hal, Henry. The Halketts of Hale Hill, CO. Edinburgh, claim descent from the Halketts, who were " free barons in Fiieshire