He was born in Charleville, County Cork into a prominent Anglo-Irish family of Huguenot descent, the second son of Major John Noah Gossett (1793–1870) of the Rifle Brigade[5] and his wife, Maria Margaret Driscoll (1796-1883).[6]
He was commissioned as a lieutenant in the Royal Engineers in 1840 and was deeply involved in the survey work in Britain 1840 to 1850. He was promoted captain in 1850.[7]
In 1855 Gossett was made 6th Surveyor General of Ceylon, succeeding W. H. Simms in this role, and holding the office until 1858. He was succeeded by Charles Sims.[9] He was active in recruiting assistants, interviewing in London; but failed to spot embezzlement by the survey's head clerk.[10]
In the aftermath of the Fraser Canyon Gold Rush, coin was short in British Columbia. In 1861 Douglas sent Gosset, or the assayer Francis George Claudet, to San Francisco, for equipment to set up a local mint in New Westminster; in 1862 Gosset operated the mint.[14][15] Gosset was replaced as Treasurer in 1862.[11]
In 1873, he returned to Britain to take a more sedate role in a Science and Art Department in London. He retired in 1894.
In 1852, Gosset at Eton, Berkshire married his cousin, Helena Dorothea Gosset (b. 1830),[6] who was the daughter of Isaac Gosset (1782 – 1855) and the granddaughter of James Lind of Windsor.[17][18] They had one son Ernest A. Gossett.[19]