Married Catherine Hamilton
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In one instance of the Douglas Y-DNA: Y-DNA I-L338 for all of Walter Hamilton of Darngaber's male line? Possibly. (my early Great-grandfather, on my grandMother's side) Y-DNA is possibly I-Y6635 per Descendent of Walter Hamilton of Darngaber, (potentially one of my FTDNA matches). BOTH I-L338 (also known as I1a2a1a1a) and related I-Y6635 (also known as I1a3a1a1a1, Parent Branch: I-Y6624) are of Haplogroup I-M253 also known as I1 (a Y chromosome haplogroup). I-L338 is a well-known Haplogroup of the Douglases.
Walter Hamilton of Darngaber (not "of Cadzow") BIRTH 1392 • Cadzow, Lanarkshire, Scotland, DEATH 20 MAY 1441 • Trabzon, Trabzon, Turkey and his descendants were descended from the Douglases and not the Hamiltons.
Sources:
http://dgmweb.net/DNA/Thompson/ThompsonDNA-results.html https://www.familytreedna.com/public/Douglas?iframe=yresults http://www.yseq.net/product_info.php?products_id=21060 https://haplogroup.org/ystory/i-y6635/ http://www.personal.psu.edu/faculty/g/a/gah4/HamDNA/B1.pdf
(And it is not unreasonable to, at least, consider the uncle of Walter Hamilton (of Darngarber, not "of Cadzow"), John Hamilton of Fingalton as not being a Hamilton either as their Y-DNA has been compared. Assumptions to the contrary are very risky.)