The baronetcy of Cuninghame of Corsehill was created in the Baronetage of Nova Scotia and conferred upon Alexander Cuninghame of Corsehill, a Scottish baron and landowner in Dumfriesshire and a great-great-great-grandson of the 4th Earl of Glencairn. The fourth baronet's father added the name Montgomery before his own on inheriting estate of Kirktonholm.
Sir John claims the title of Earl of Glencairn although he has never officially petitioned the House of Lords and his ancestors did not petition for the title in the House of Lords in 1797 as they had not provided sufficient evidence of being heirs-male to the Earls of Glencairn and again denied in the 19th century due to a lack of propinquity. The estates and lordships were passed by strict entail of the 12th Earl of Glencairn to the "heirs male of her own body" of his eldest daughter, Lady Margaret Cunningham, wife of Nicol Graham of Gartmore and to their line should his male heir line fail, which it did upon the death of the 15th Earl of Glencairn in 1796.
Sir John petitioned the Lord Lyon, King of Arms, for recognition as Chief of the Name and Arms of Cunningham in March 2010 and was recognised as such by the Lyon´s interlocutor of 18 December 2013 as Cunninghame of that Ilk. He is, therefore, the first Chief of the House of Cunninghame in over 200 years.
There is no heir to the baronetcy of Corsehill, though his chiefship may pass to and through the female line.