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Jacques dit Jacob Girouard dit La Varenne was born around 1648, likely in Port-Royal, to François Girouard and Jeanne Aucoin.
When Jacques married Marguerite Gautrot around 1670, he was about 22 years of age and Marguerite was around 16. Between 1671 and 1698 they had 14 children, presumably all born in Port-Royal.
Alexandre (dit de Ru) c1671
Germain (dit le jeune) c1691
Marie Madeleine c1695
Anne Marie c1698
Jacques and Marguerite were counted in the first Acadian census of 1671 with their newborn son Alexandre, in Port-Royal. They owned 7 cattle and 3 sheep, but no land was listed. Jacques dit Jacob was also enumerated in his parents' household.
Their growing family continued to be listed in subsequent censuses at Port-Royal between 1686 and 1701 and seemed to be doing well with an impressive number of farm animals and acres of cultivable land. 
By 1698, they owned 20 cattle, 30 sheep, 12 hogs, 48 arpents of land, 18 fruit trees and 1 gun. There were 12 children in their household, from 6 months to 24 years of age.
Jacques passed away on 27 October 1703 at about 55 years of age, and was buried the next day in Port-Royal, leaving 49-year-old Marguerite with 8 children still living at home.
"François épousa vers 1647 Jeanne Aucoin, de qui il eut cinq enfants, dont Jacques (ou Jacob), né vers 1648. Ce dernier épousa, peu avant le recensement de 1671, Marguerite Gautrot, fille de François Gautrot et d'Edmée Lejeune. Nous comptons au moins quatorze enfants dans la famille de Jacques et de Marguerite."
Find A Grave, database and images (accessed 14 February 2020), memorial page for Jacques Jacob Girouard (1648–27 Oct 1703), Find A Grave Memorial no. 136645223, citing Garrison Graveyard, Annapolis Royal, Annapolis County, Nova Scotia, Canada ; Maintained by AW (contributor 47829810) .Find A Grave: Memorial #136645223
It may be possible to confirm family relationships with Jacques by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA test-takers in his direct paternal line.
Mitochondrial DNA test-takers in the direct maternal line: