Your Alexandre Briand WAS most probably born at Miquelon, since his parents married there in 1830. According to an article by Stephen White, genealogist at the Centre d'Ã©tudes acadiennes in Moncton, which was published in our journal Le RÃ©veil Acadien (Acadian Cultural Society, Fitchburg, MA), I am sending you some information from that article.
Alexandre was one of three children (of their original 9 children!) who married at Arichat. I presume you have his marriage at Arichat on 28 Aug 1865 to Elizabeth Wolfe, daughhter of EusÃ¨be & Roslaie (Richard) Wolfe. His parents Pierre-ProspÃ¨re BRIAND (son of Joseph & GeneviÃ¨ve (Girardin) Briand) married Henriette VIGNEAU (daughter of Joseph & Marguerite (Forest) Vigneau) at Miquelon on 6 Jan 1830. From her marriage record, Henriette was born at Arichat on 20 Nov 1809; and died before 21 Aug 1864. Her father Joseph Vigneau was also born at Miquelon on 23 Jul 1777, the son of Joseph & Madeleine (Cyr) Vigneau. He married at Arichat to Marguerite Forest, the daughter of Simon & Marie-Marthe (Martel) Forest. Basically, this is all I have that relates to your family.
As for procuring a record of Alex's birth at Miquelon, you have to write either to the parish of Notre-Dame de Miquelon for a baptismal certificate, or else to the Departmental Archives of St-Pierre and Miquelon, located at St-Pierre. The address is:
If you write, send a check for about $10 (or Euro equivalent, since they now use that currency) and a self-addressed envelope. If you live in the US or Canada, DO NOT put a return stamp on it, since they have their own stamps (printed by France)! Get 2 International reply coupons from your local post office, that they can use in exchange at their post office. Also, check out the St-Pierre and Miquelon site (especially Robert Langlois' genealogy pages) at:www.st-pierre-et-miquelon.com/
Hope all this helps. Dennis Boudreau