I will be trying to build up my knowledge of 'poor relief' Duncan's widow Mary was refused because she was not on tjhe paraochial roll. althouigh she was a pauper with 4 kids under 10, and another on the way.
It may be due to a change in the law, or the disruoption on the church, or simply that she had moved from Dalserf.
In 1849, it has nothing to do with the kirk or the disruption thereof, because from 1845 responsibility for looking after the poor was the Parochial Board's job, no longer the kirk session's.
What normally happened was that anyone who was in dire straits applied to the parochial board of the parish they were living in. If they had 'settlement' in that parish, it was up to that parochial board to deal with them appropriately.
However if they did not have 'settlement', the parochial board would do its utmost to find out where the person's settlement was, and get that other parochial board to meet the cost of dealing with them. This is why the surviving parochial board records go into so much detail about where people were born, had lived and for how long.
You acquired 'settlement' in various ways. One was by being born in the parish. Children could be held to have 'settlement' in the parish where their father was born. A married woman acquired 'settlement' in her husband's parish of 'settlement'. Or you could acquire 'settlement' by living continuously for five years in the parish.
So if Duncan's widow and children were born in Dalserf, Cambusnethan Parochial Board would instruct their Inspector of Poor to write to Dalserf and basically say, "We have one of your paupers here. We have paid her some money to tide her over pending your decision what to do with her. Please reimburse us, and tell us how to dispose of her case". Dalserf would then look at the case and decide what to do - they might give her a small amount of money each week, or they might offer her a place in the poorhouse - and if they did and she refused the offer of the poorhouse, she would not be admitted to the Register of Poor, or she would be struck off it if she had previously been admitted to it.
Saying that she could not have relief because she was not on the parochial roll sounds a bit like putting the cart before the horse - it was the parochial board that decided who was and who was not on the parochial roll (if by this they mean the Register of Poor).