There are a host of Bissonnettes in Prescott county, but no marriages for children of this couple. The first RC parish didn't open here until the 1830s - 1835 @ L'Orignal. So any birth/baptism records would be elsewhere - possible back over the river into QC, or a non-Catholic parish (and those records are spotty at best for that time period).
Jane was deceased by 1813, when Louis married Françoise Gauvin at Cap-Santé (on 23 Feb). The act doesn't mention any children present at the wedding, just a host of friends from the Marcot family. I've searched BMS200 and the LAFRANCE databases for children born to Louis & Jane and/or Louis & Francoise and found none.