There have been two baronetcies created for persons with the surname Coghill, both in the Baronetage of Great Britain.
The same year he assumed by Royal licence the surname of Coghill in lieu of Cramer.
On succeeding to the title in 1817, he assumed the surname of Coghill in lieu of Cramer by Royal licence.
Nevill Coghill, eldest son of the fourth Baronet, was posthumously awarded the Victoria Cross for his actions in the Anglo-Zulu War.
Nevill Henry Kendal Aylmer Coghill (1899–1980), second son of the fifth Baronet, was Merton Professor of English Literature at the University of Oxford.