[1][2] He was the fourth son of George Davison of Little Mill, Longhoughton, Northumberland;[3] his sister Jane was mother of John Yelloly the physician.
Sir Henry Taylor, brought up in County Durham where his father was a friend of Davison, recollected that he wore a pigtail (queue), one of the last men of his generation to do so.
[20] He later conjectured about the architectural role of the chamber he discovered, in a letter to Joseph White of 1779, coming to conclusions comparable with those later published by Richard William Howard Vyse.
[19] An engraving after a drawing by Davison of the interior of the Great Pyramid appeared in volume 2 (1807) Travels in Upper and Lower Egypt by Charles-Nicolas-Sigisbert Sonnini de Manoncourt.
[5] Extracts from Davison's journals were published in 1817 by Robert Walpole, in his collection Memoirs Relating to European and Asiatic Turkey.