LEISHMAN

Scottish (Stirlingshire): occupational name for a maker of leashes, from Middle English and Older Scots lese, leise, lech(e), lesh(e) ‘a leash for holding a coursing hound or watchdog’, also ‘a thong for securing a hawk’, + man. The name would be synonymous with Lesmaker, Leshmaker, attested in early 15th-century Durham.
Perhaps also a Scottish variant of Leachman .