I expect Marie and Lauzon would be relatively common in a French community such as around Paincourt.
Assuming I have found the correct census page, the Marie's appear to be Roman Catholic. There appear to be Catholic baptism records available on Ancestry that go back a fair way if you have a sub that covers Canada. Not much help if you don't which Marie (?) but we'll do our best to help you find your one.
If she is your great grandmother she must have married? Is Lauzon her married name or her maiden name? If maiden name, could you tell us who your great grandfather was?
Edited: And your grandparent who was Marie's child?
More questions than answers at the moment.
PB