Charles Badié / Badier dit Laforest shows up in the colony in 1666, his confirmation record lists him as from Mortagne (image on Perche-Québec site, linked).
His marriage contract names his parents, and says this exactly: fils de Pierre Badier, marchand demeurant à Mortagne, pays du Perche, paroisse de St-Nicolas, évêché de Chartres. (linked on profile, nice handwriting)
PRDH, PREFEN and PERCHE-Québec all put him in Mortagne, évêché de Séez. They also state he died outside the colony, but I found evidence to the contrary. The point they make is that Mortagne au Perche had no parish named St-Nicolas. I am thinking that he might have been from a parish in Chartres diocese named St-Nicolas, and his father became a merchant in Mortagne and that was his provenance. Marriage record repeats the data from the contract (image on profile).
Needs some clarification and possibly some more family, as right now he and his wife, child and respective parents are a loose family group. His wife (Fille du Roy) and child appear to have left the colony, most likely in 1672, to go back to France, as no further trace of them is found here.