the mother gets called all sorts of things, Adrienne, Henriette, Alexandrine, Alexandrienne, Aurélienne, all on marriages of her children. Baptism indexing stops at 1860 for this family, in Ste-Agnès-de-Charlevoix, which is on the North coast near La Malbaie https://www.genealogiequebec.com/Membership/LAFRANCE/acte/5995252 map from Drouin institute. Your girl's baptism was done on 23 Dec 1866, she is named Marie Délina, daughter of Toussaint Jean, farmer, and of Adrienne Cloutier, of Les Éboulements; godfather Augustin Bouchard, ''cultivateur'', godmother Pétronille Perron, wife of ''Lalathiel'' (???) Gauthier https://www.genealogiequebec.com/Membership/LAFRANCE/img/tag/d1p_8260881.jpg baptism image Drouin institute (membership required)
The family was on the North coast originally, then moved to St-Octave-de-Métis on the opposite coast in the Gaspé peninsula, and later they moved to Hull and then Ottawa. There are 8 marriages for their children that I find in Drouin.
Note that the place name for your girl's marriage should not include Matane, that is a separate city, and is not in fact a ''county'' as used elsewhere, but an electoral riding, subject to periodic change.
Toussaint Jean, son of François Jean (deceased) and of Marie Lachance, married Adrienne Cloutier, minor daughter of Joseph Cloutier and Marie Tremblay, on 4 Feb 1856 in Les Éboulements https://www.genealogiequebec.com/Membership/LAFRANCE/acte/4815417 , all parties recorded as residents of St-Irénée. (The Cloutier/Tremblay lineage will have to be very carefully verified, those are among the most common names found here, lots and lots of duplication possible)
Take a look in Québécois project, there are guidelines for place names there that cover more than just early time period. Before 1867 you would use Bas-Canada for anything in this province, back to 1794, etc. No ''county'' names should be entered, since they're just not that.
Edit: Note that there are no such things as ''middle names'' in French, they are ALL given names.