Don't know if this will help or not, but here goes.The name Narcisse is NOT that common in the Bourdeau family, as in all the three counties I looked at tonight: St-Jean, Laprairie and Napierville, I ONLY found TWO.One Narcisse was married at Napierville, QC in 1872 to Eveline Aubin (much too late to be yours); and then there was this one:
Narcisse BOURDEAU s/o Pierre & Catherine Toupin Marguerite GAUTHIERd/o unknown; (parents omitted from the record; she was from Lacolle, QC.) Narcisse & Marguerite married at Napierville, QC. 15 Oct 1839
Narcisse remarried after her death at St-Bernard, QC. 17 Jul 1850 with an Esther DUCLOS.I am wondering if the Marie PILET in your record is a third spouse of his, since this Narcisse is the ONLY other one I could find in Quebec Province around the time you want.
Two generations back from Narcisse:
His parents: Pierre BOURDEAU s/o Laurent & Marie-Josèphe Lemieux Catherine TOUPIN d/o Joseph & Suzanne Dubuc m Laprairie, QC. 20 Sep 1813
His grandparents (and great-grandparents): Laurent BOURDEAU s/o Joseph & Catherine Piedalue Marie-Josephe LEMIEUXd/o (can get that later if necessary) m Laprairie, QC. 21 Nov 1785
Narcisse's siblings were the following:
Salomée m Laprairie 1 Jul 1833 Médard LUSSIER Henri m St-Bernard 19 Feb 1844 Catherine HAIL Julienne m St-Bernard 25 Sep 1849 Frédéric CUSSON Pierre m St-Bernard 26 Nov 1850 Olympe GRANGER
Please note also that no children for the couple Narcisse and Marguerite, nor Narcisse and Esther were found to have been married in the Province of Quebec, so it is a good possibility that this couple (Narcisse & Esther) migrated to the US, and could possibly be the person(s) you're looking for.Note also that US census records are not accurate age wise, some off by a couple of years, which will give some year discrepancies between actual ages/years of birth and the marriage records which are very accurate.
From what I found it is conceivable then that this may be your Narcisse, since his parents married in 1813, and he was born in 1819; and that he was married to Marguerite in 1839; thus, your Edward born ca 1838, or more probably in 1840, COULD have been Narcisse's younger brother or a son of his first marriage. In Canada it was NOT uncommon for mothers to give birth even up to twenty years after their marriage if he was his brother; or if his son, thenhis birth is off by at least two years since Narcisse married in October of 1839, thus Edward would be born the following year, 1840.He could also possibly have been Edward's uncle.Without having any birth records available to me for this family from this area, I cannot tell for sure otherwise.Perhaps Edward's death record would name his parents, or an obituary might list them, but I don't have access to these records either.
Also please note that this Marguerite was definitely Narcisse's first wife, that her parents were not recorded in their marriage record!, and that in the second marriage of Narcisse with Esther, Marguerite's maiden name was given as "Savage" rather than Gauthier (which raises a question of whether or not, she may have been an Indian in origin, or at least a Metis (half-Indian), whose father was a Gauthier, French-Canadian.
That's about all I could find, and belive me, I combed through three counties of Bourdeau marriages to come up with the above records.Hope they may be of help.Perhaps Narcisse and Marie Pilet were married in Illinois.Have you checked the online Illinois state marriage database to see if they were married there?If not, look again.Regards,Dennis