Rather late in the day I imagine, but I had a quick look at this last week and came up with nothing much so thought it worth another go; unfortunately nothing much this time either, but I note a Tessa Susan Barne (1960-) as a fellow director of a company to which Miles Robin Barne is attached (and of the same correspondence address), presumably his second wife Teresa (née Yates) as aforementioned?
I assume the Thomas Michael Barne (1979-), director of Sotterley Investments Ltd, is the second son you mentioned, Mr Kingsley? I'm afraid I couldn't find anything relating to the Barne family at Moree.