Arthur, William (1857) An Etymological Dictionary of Family and Christian Names. New York: Sheldon, Blakeman. Public Domain.
LOGAN
As described in historical dictionaries
An Etymological Dictionary of Family and Christian Names (1857)
(origin: Gaelic.) An inclosed plain or low-lying place. If the residence of a Briton was on a plain, it was called Lann, from Lagen or Logen; if on an eminence, it was termed dun.
Patronymica Britannica (1860)
LOGAN. A Celtic word used In Scottish topography, both singly and as a pi-efix, and siguifyiug a hollow place, or plain, or meadow surrounded by rising grounds, Gaz. of Scotl.
Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
Origin: Celtic
Region of origin: British Isles
Country of origin: Scotland
Religion of origin: Christian
Language of origin: Gaelic