Gilles is the proprer spelling for a man's given name in French.Giles is a given name for a woman in English.
Military record of Gilles:those would be in the Archives de la Nouvelle-France. I would suggest that you contact: a. archives nationales du Québec (now Bibliothèque et archives nationales du Québec (BAnQ).Personally, I have never accessed such documentation.
Drouin's marriage repertory makes no mention of Gilles' occupation although it does normally for immigrants from France.He was from the diocese of St-Brieuc en Bretagne.His parents were Gilles Bertrand and Péronnelle Lenoyer.
Beaulieu: this dit name may have been adopted after his immigration to NEw France.Beaulieu is also a surname for a lot of people.No mention of it in Drouin's.
Since François-Noël is the only male sibling of Jacques and Amable for who we have marriage data in Québec, one would have to find the descendants of this person to identify all those still living.You are talking about245 years of descendants that would have to be determined one generation at a time. The best way would be to do family records. If interested, contact me at my email address to discuss the conditions (email@example.com).