The most closely related Kirk from my own 23&Me DNA test results, can trace his family tree back to Northern Ireland.
2nd cousin once removed, shared DNA 1.19% 89cM.
Here is what has been established, sourced and confirmed:
James Kirk abt 1720 -1775 born and died in Ballymoney, County Antrim, Northern Ireland. Married Mary Jean Agnes Edmiston (Edmundson) 1733-1772.
Matthew Kirk 1760-1839 married Grace Johnston 1769-1858
James Johnstone Kirk Sr. 1794-1857 married Jane Walker 1796-1835
Matthew Biggart Kirk 1824-1879 married D.R Hulda Jones 1833-1871
John James M Kirk 1853-1888 married Mahaly Louisa Mowdy 1855-1933
Jack Theodore Kirk 1888-1965 married Iona Fowler 1909-1977
John Oliver Lester Kirk 1931-2007
So far so good, but we have to go back further than James Kirk 1720-abt 1775, for a blood DNA connection.
His Father I believe came from Scotland, and to date I have no idea who he might be.
Matthew's eldest brother was called John, which maybe named after his grandfather John Kirk.
Now to to look at my line, and again I can only go back to the same period:
Also a James Kirk 1725- married to an Elizabeth Brown (Broun) 1730- from Durisdeer, Dumfriesshire, Scotland.
He also named his eldest son John 1760-.
Now as there are both named James Kirk, that in itself precludes that they came from the same Father, so I believe that then dictates we have have to go back at two further generations from here.
Sure this is a tall order, but at least we have proof genetically.
Sure this is a tall order to find Kirks in the 1600's in Scotland that might be related, but this is the first time I have had two arrows to my bow.
Maybe you're thinking even if I had a full quill of arrows it still might be very difficult, but here's hoping that somebody might get lucky please.