Arthur, William (1857) An Etymological Dictionary of Family and Christian Names. New York: Sheldon, Blakeman. Public Domain.
BURNHAM
As described in historical dictionaries
An Etymological Dictionary of Family and Christian Names (1857)
(origin: Local) Derived from Burnham, a town in Norfolk, also in Essex, England; in the old English, Bourn or Burn, signifies a river, and ham, a village or town--the village by the river. Bourn, burn, and bern, in the Cornish-British, is a hill, a heap; and Burnham, the house or town on the rising ground.
Patronymica Britannica (1860)
BURNHAM. Parishes In cos. Bucks, Essex, Somerset, Norfolk, &c.
Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
Surname type: Location or geographical feature
Origin: English
Region of origin: British Isles
Country of origin: England
Religion of origin: Christian
Language of origin: English