It lies between the settlements of Barrmill and the hamlet of Burnhouse on a crossroads of the B706 and the lanes to Nettlehirst and Tandlehill via the Third part.

This small settlement is shown on General Roy's survey of 1747 - 55, under the name of 'Greenhill' in the singular, and has two buildings indicating where the old school was situated.

Greenhills closed in 1959, it was sold in 1964[1] and demolished in the mid-1980s; having been used for some years as a glue factory by Strathbond Ltd who still trade from the Willowyard Estate, Beith.

[3] A limekiln was situated behind the school, made in the shape of a horseshoe with the opening facing the prevailing southwest wind.

This artificial mound or moot hill was the site where proclamations of the Giffen Castle Baronial Court's judgements were made.

This situation, known as the feudal Barony right of 'pit and gallows' existed at many other sites, such as at Beith, Kilmarnock, Aiket, Ardrossan, and Dalry.