This is highly unlikely, although they did have a son William, he was born about 1706 and definitely well before 1726, as his parents married in 1694. He was a Captain in the Dragoons and a Member of Parliament from 1741-1747. It is not quite clear when he died but it appears as if he may have died unmarried in 1748.
Source: S-1871602850 Repository: #R-1872851262 Title: Ancestry Family Trees Publication: Online publication - Provo, UT, USA: Ancestry.com. Original data: Family Tree files submitted by Ancestry members. Note: This information comes from 1 or more individual Ancestry Family Tree files. This source citation points you to a current version of those files. Note: The owners of these tree files may have removed or changed information since this source citation was created. Page: Ancestry Family Tree Data: Text: http://trees.ancestry.com/pt/AMTCitationRedir.aspx?tid=29843615&pid=858
Source: S-979970894 Repository: #R-1872851262 Title: Scotland, Select Births and Baptisms, 1564-1950 Author: Ancestry.com Publication: Ancestry.com Operations, Inc. APID: 1,60143::0
Source: S1 Title: Ancestry Family Trees Publication: Name: Online publication - Provo, UT, USA: Ancestry.com. Original data: Family Tree files submitted by Ancestry members.; Repository: #R1 NOTEThis information comes from 1 or more individual Ancestry Family Tree files. This source citation points you to a current version of those files. Note: The owners of these tree files may have removed or changed information since this source citation was created.
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DNA Connections
It may be possible to confirm family relationships with William by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share some percentage of DNA with William:
Stewart-15967 and Stuart-621 appear to represent the same person because: Birth and death data are a perfect match. Only discrepancy is variant spelling of the last name. I think Stuart probably is the better choice.