Beith is a town in the Garnock Valley, North Ayrshire, Scotland approximately 20 miles south-west of Glasgow. The town is situated on the crest of a hill and was known originally as the "Hill o' Beith
The old Barony and castle, fortalice, or tower house of Hill of Beith lay in the feudal Regality of Kilwinning, within the Baillerie of Cunninghame, and the Sherrifdom of Ayr, now the Parish of Beith,
Beith
…The town of Beith itself was once known as 'Hill of Beith' as this was the name of the feudal barony and was itself derived from the Court Hill near Hill of Beith Castle. Alternatively, Beith may be derived from Cumbric *baɣeδ, 'boar' (Welsh baedd). The local pronunciation of the name would favour this theory…