In 1882-4, Frances Groome's Ordnance Gazetteer of Scotland described Clermiston like this:
Clermiston, an estate, with a mansion, in Corstorphine parish, Edinburghshire. The mansion stands ¾ mile N of Corstorphine village, and was built in 1792, at a cost of £3000. The estate belonged in 1771 to the eminent physician Sir Alexander Dick, forming till then a part of the barony of Corstorphine, and was afterwards sold to Samuel Mitchelson, who built the mansion. ...
Sold again in 1795 to George Robinson for £11,000, and yet again in 1836 to Francis Jeffrey, Lord Jeffrey, for £15,250, it is now the property of Wm. Macfie, Esq., who owns 124 acres in the shire, valued at £443 per annum.
GB Historical GIS / University of Portsmouth, History of Clermiston, in Edinburgh and Midlothian | Map and description, A Vision of Britain through Time.
Date accessed: 29th April 2017
Click here for more detailed advice on finding places within A Vision of Britain through Time , and maybe some references to other places called " Clermiston ".