What is Ayre?

Legal Definition
(Manx: Inver Ayre) is one of six sheadings in the Isle of Man and consists of the parishes of Andreas, Bride and Lezayre.

The derivation of the word ayre is from Old Norse"eyrr", meaning a shingle beach. It refers to a storm beach forming a narrow spit of shingle or sand cutting across the landward and seaward ends of a shallow bay. This may partly cut off a sheltered stretch of water from the sea to form a shallow freshwater loch. This word is still in use for the particular landform in the Northern Isles of Scotland.
-- Wikipedia
Legal Definition
In old Scotch law. Eyre; a circuit, eyre or iter.
-- Black's Law Dictionary
Legal Definition
(Scotch) Eyre; a circuit.
-- Ballentine's Law Dictionary