Having looked through the list, i know Cumnock have played Baillieston, Cabarfeidh & Coltness in Scottish or West of scotland cup-ties and i am sure others will say we also played some of the others as well.
My memory of Bailieston was playing at their ground, Station Park i think it was called, and there was a near riot during and after the game which was sparked off by a snowball fight which got out of hand when somebody threw a snowball with a stone in it which split a boys head open.
Caberfeidh played against Cumnock in the Scottish back min the 80's ( i think) and my abiding memory was of Cumnock being up about 8 or 9 nil and a big bearded guy standing behind the goals at one end of the park shouting " Come on Caber, yir no beat yet"
Cumnock played Coltness in a cup tie ( not sure if Scottish or West) when one of the finest players we ever had, and arguably one of the best central defenders the junior game has seen, got a bad injury from which he really never recovered as he was (IMO) not the same player after this happened. The player in question was big Paul Anderson, a great player and a thoroughly nice guy.
One last team i can through into the list is Ormiston Primrose who played Cumnock in the 1989 Scottish Cup final and i think are now an amatuer team in the East of Scotland leagues