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From U of Edin. Lib. MS File La.IV.7.1 : Document 1
Memo of the Armorial Ensigns of the Name of Laing or "Laying"

The name Lang is pretty common in England and doubtless the same as Laing(1). The armorial Ensigns of one of them prove they are derived of the same stock, as they bear the three piles, but in different position and of different color.

(1) Studies of the name indicate that they have indeed often been interchangeable.  The spelling Laing seems to have been the most closely associated with the armorial bearings.  The archaic spelling is Layng although often it is found spelled Laying as well, this possibly having been a transitional spelling.