Trevor Eardley Wilmot was the third of four children born to Stuart Eardley Wilmot (1847-1932) and his wife Rosa Cornelia Johnstone (1846-1924). He was born in Launceston on 20 Jan 1884. Trevor attended the Launceston High School and the Launceston Church Grammar School. He joined the Royal Navy in 1899 and served on the HMS Royal Arthur from 1900 to 1903. He was promoted to lieutenant in 1905 and transferred to the HMS Challenger from 1910 to 1912. He left the Navy and farmed in Queensland until the outbreak of the First World War. During that war he commanded a minesweeping flotilla in the Adriatic and won a DSO, and then commanded HMS Queen and the naval base at Taranto, Italy, from 1917 to 1919. He was made an officer of the Order of St Maurice and St Lazarus.
After the war Trevor returned to Launceston and was a director of the family firm of Johnstone and Wilmot Pty Ltd, wine, spirit and general merchants. He was called to active service shortly before the outbreak of the Second World War and in 1939 was appointed Naval Control Officer, Melbourne. In 1942 he became the Senior Transport Officer, Melbourne, and in 1945 was appointed as the Superintending Sea Transport Officer, Australia. At the end of the war he returned to Launceston and became managing director of Johnstone and Wilmot.
Trevor married Frances Isabelle Georgia Cousens, daughter of Dr Kenneth Cousens of Honolulu, on 19 Sep 1912 at St John's Church, Launceston. They did not have any children. Trevor died at his residence in Newstead Crescent aged 72 on 23 May 1957. His cremated remains were interred at Carr Villa in plot B 25 with his brother Gerald. Frances died on 28 Jul 1969 and was interred at Carr Villa with her parents-in-law in plot B 9.