My late husband's cousin informed that Robert Murray was born in Cork Ireland. My daughter has got the results of her DNA test and there is no connection to Ireland but a strong one to Scotland.
I wouldn't rely on DNA to distinugish between Scottish and Irish ancestry.
First, it's possible (though maybe unlikely) that the critical bit of DNA from one side of a family didn't get passed down to all that person's descendants.
Second, Scots and Irish are both Celtic peoples connected by geography and culture as well as by blood, and I would be a bit sceptical of any DNA analyses that claimed to be able to distinguish them with certainty from one another.
Third, even if it had been possible to tell the difference, there were so many people in Ulster of Scots descent after the Plantation that the bloodlines must have got mixed again.