submissions aren't reliable, but there is a marriage listed on the IGI which certainly would be close to the first birth...in 1861
EusÃbe Tardif (Hilaire Tardif & Marie-Louise Hudon-Beaulieu )
to Caroline Dionne
Oct. 11 1859..but it doesn't say where this marriage took place...

Some of the submitter's information is there, but not enough so that you can write to ask what the source of info was?
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http://archiver.rootsweb.com/th/read/QUEBEC/2005-08/1124685570Marriage for Hilaire & Marie Louise but it takes place in town of Kamouraska
This might be a good person to ask about descendats of this couple and if they tie in to your family!
parents of both are listed here, so invaluable should it turn out to be yours...
P.S...just leave this information posted here, and only keep or print out the "for sures" when you find there is a connection somewhere...