Branksholm 1738 x 1754 Rosyth Story, 60 [Rental of the Barony of Rosyth: The Barns and Branksholm, tenant David Currie]
Brancum Shotts 1755 Rosyth Story, 57 [Thomas Winter Plan of the Barony of Rosyth (Rosaith)]
Brankhim 1775 Ainslie/Fife
Brankholm Brae 1856 OS 6 inch 1st edn.
? Sc brank(s) + ? Sc holm
For a full discussion of the problematical first element of this word, see PNF 5, Elements Glossary. The second element appears to be Sc holm ‘low-lying land beside a water’, a relatively rare word in Fife place-names.
Brankholm lies at or beside where Craiglockhart is marked on OS Pathf. 394. The settlement disappeared between 1775 (Ainslie/Fife) and 1828 (SGF). On OS 6 inch 1st edn. the name survived only in Brankholm Brae, but the Brankholm Burn still runs past the place on OS Pathf.
This place-name appeared in printed volume 1