Greenhill borders Marchmont and The Grange to the east, Morningside to the south, and Merchiston, beyond Holy Corner, to the west.
The name derives from the former estate of Greenhill, which was one of the original lots purchased when the Edinburgh magistrates feued the Burgh Muir in 1586.
Two further lots were later added to the original portion of Greenhill, including the ground that became known as Burghmuirhead, and sold to separate owners, one of whom was William Rig.
A walled, roofless structure rebuilt some time after 1894 is the mausoleum of John Livingstone,[3] an apothecary and former laird of the estate.
It stood in the grounds of the manor house before its demolition and is now situated adjacent to a smaller private Victorian villa.