The Docherty family and the Kilkie family connection came via the marriage of William Francis Docherty and Esther Kilkie on 11 Feb 1941 at Glasgow.
As you will already know Docherty and its variants is one of the commonest surnames amongst people with an Irish origin. One consequence of this is that most of the Dochertys you meet are not related to your Docherty, or at least the connection is very distant and hard to prove.
There are a number of general Docherty family websites, for example www.dochertyfamily.com
The horseman on the right on the front page is a first world war photo of George Docherty, died who was killed in action and is buried in Leper Belgium on 4 September 1917.