entry shows both resident St Mary's, married by banns, witnessed by Geo Tracey and Arch(ibal)d Fairbairn (presumed to be Mary's brother-in-law and brother respectively)
FamilySearch
Fact: Christening (21 Feb 1830) , Ladykirk, Berwick, Scotland
Fact: Residence (1870) Wisconsin, United States
DNA
Relationship to father David marked as confirmed by DNA because of Triangulated Group (TG) on Chr 01 between three "cousins", one descended from John Davidson and Agnes Fairbairn's son Adam, one from their son Walter, and one from Agnes' paternal uncle David (father of this Mary). A fourth "cousin" in the TG cannot currently be compared with the descendant of David but is expected to also match.
T087062 LIH to T203183 HD 19-60 mbp
T080762 LIH to TMF 19-41 mbp
T203183 HD to TMF 22-40 mbp
Another adjoining segment adds David's brother Robert into the mix adding confirmation this is highly likely to be the Fairbairn side:
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DNA Connections
It may be possible to confirm family relationships with Mary by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with Mary: