Birth, Marriage and Death - Mayflower Families Vol. 17 p. 191 - Mayflower Families Fifth Generation Descendants, 1700-1880. (Online database: AmericanAncestors.org, New England Historic Genealogical Society, 2017). From Mayflower Families Through Five Generations: Descendants of the Pilgrims who landed at Plymouth, Mass., December 1620. Plymouth, MA: General Society of Mayflower Descendants, 1975-2015 - https://www.americanancestors.org/DB2728/rd/48763/191/1417068761
The Dolley Madison Digital Edition. The Madison Family. Edited by Holly C. Shulman. Accessed by Michael Boynton on March 21, 2016 at 9:45 PM. 
Burke's Presidential Families of the United States of America, p.140.
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It may be possible to confirm family relationships with Ambrose 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 DNA with Ambrose: