He was married to Catherine, daughter of Jacob Lorrilard. His sister Maria Matilda married AMW's brother William Gibbs McNeill.
Cammann studied with Dr David Hosack (one the founders of Rutgers Medical College in New York) in 1826 under Prof. Louis in Europe, and in England, Italy and Switzerland until 1830. In 1835 he was appointed Physician to Bloomingdale Orphan Asylum, and later to Protestant Episcopal Orphans' Home, and Consultant Physician to St Luke's Hospital. His obituary in the New York Times, praised the modesty of his character and his excellence at the profession of medicine.
Obituary, New York Times, 21 February 1863, vol. 12, no. 3561, p. 2; Walter Graeme Eliot, Portraits of the Noted Physicians of New York, 1750-1900, New York, 1900, p. 15; Copy after Turner's 'Rockets and blue lights (close at hand) to warn steam-boats of shoal water' (M.176).