Furner was born in Lymington, Hampshire, England, and at his Age of majority travelled to Melbourne, Australia, in the Mermaid, later moving to Adelaide, South Australia. Furner was in business in Goolwa and Moonta, South Australia, where he founded the auctioneering firm of Moody, Furner, and Co. which lasted until 1885. Furner was mayor of the Corporate Town of Moonta three times and was Worshipful Master of the local Lodge of Freemasons.
Furner was elected to the South Australian House of Assembly for Wallaroo on 5 April 1878, a seat he held until 8 April 1890. Furner was Commissioner of Public Works in the John Downer administration from 8 June 1886 to 11 June 1887. He contested the 1891 Wallaroo by-election.
| Commissioner of Public Works
|Parliament of South Australia|
| Member for Wallaroo
Served alongside: R. D. Ross, C. S. Hare
W. H. Beaglehole
Henry Allerdale Grainger
| Mayor of Moonta