Can't pretend to know the area, and I am sure there were many mills in the area...or they may all refer to the same one... There are listings for: The Old Mill Clochan, Buckie...The Old Mill Arradoul , Buckie...Mill of Towie, Buckie, Banffshire
I do know the area, rather well as it happens.
Clochan, Arradoul and Buckie are all places in the parish of Rathven. None of them is in either of the others. Their modern postal addresses all include Buckie, but this should not be taken as any indication of the historical situation.
There are at least two places called Mill of Towie that spring to mind. One is at Towie in the parish of Botriphnie, and can probably be disregarded in this case. The other is near Cullen, but in the parish of Fordyce. Its modern postal address is Mill of Towie, Cullen, Buckie, Banffshire.