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So, last month, Carson's adult children Toni Twomey, Keri Crossan, Wayde Carson and Melanie Brown took a case to the High Court at Nelson.
Now all living in Australia, they argued for 20 per cent of their father's estate, which included property, farm equipment and $300,000 worth of shares and current account funds in a brewery.
Carson's grandchildren also wanted $200,000 when they turned 20 years old to "assist them in making a start in life".
In her judgment, released last month, Justice Susan Thomas said: "All the children spoke of a relatively happy early childhood ... In saying that, the older children had some not so fond memories of Mr Carson's behaviour, which, in hindsight, they attribute to his use of alcohol.
"Following their parents' separation, they and their mother moved into a state housing area in Aranui, Christchurch. Their impression was that their financial situation had dramatically declined, which they attribute to the loss of their father's income."
The judge said, apart from when they were young, Carson's children received no financial support from their father during their lifetime.
"None of the children is now in a particularly healthy financial position and retirement is not too far away,"
Justice Thomas awarded each of Carson's children $1.25m.
"That sum would be life-changing for the children but would not defeat Mr Carson's wishes," she said.
There was no award to the grandchildren.
"While a loving grandfather might well make some provision for his grandchildren in his will, that does not mean he fails in his moral duty towards them if he does not do so," Justice Thomas said.
"With each of the Children receiving $1.25 million, their financial positions will be significantly improved and they can be expected to provide for their own children."