Sources

A’ Chill mhór (Oban and Sleat), A Chille mhór.: Robertson Scottish Gaelic Dialects, vol iii p. 327

“the name Kilmore in Skye… undoubtedly originated when the lands of Cille were divided into the two portions now known as Kilmore and Kilbeag. Moreover, Kilmore – and this may not be an unimportant point – is not, and never has been, I believe, in that form, the name of a parish or a purely ecclesiastical name.”: Robertson The Northern Chronicle June 7 1899