Hi found this newspaper article I think the ship should read "The Duntrune"
Australian Town and Country Journal (NSW : 1870 - 1907)Saturday 31 October 1896 Long Lost Relatives. Davidson (William Clarke), left Dundee, Scotland, in May 1881, and sailed in the ship Duntrume, bound for Port Augusta, Australia. His poor mother can gain no tidings since. The ship passenger list maybe a good place to start.