Your Grandfather Ernest, was the son of Joseph Adam Faucheux and Leonie Schexneyder. Ernest's oldest brother, Golbert Alfred "Boy" Faucheux was my grandfather. I am the son of Golberts oldest son Randolph Joseph Faucheux Sr.
I have been able to find our Faucheux ancestors on Adams side back to Pierre Touchet Faucheux b 1732ca SJB, LA married to Marie Catherine Ockman b1732 SJB LA. parents of Louis Faucheux b1783 SJB, married Francoise Roger b1787 SBP LA parents of Alfred Benoit Faucheux b 3-21-1827 married Philomene Theresie Faucheux 12-6-1836 parents of our great grandfather Joseph Adam Faucheux b 1863 SJB LA married Leonie Schexnayder b 1870 SJB LA.
My research to date is limited to 19th century census records, family interviews, and a subscription database available through ancestry.com. I have just begun to validate all this against church records. The church parish of our Louisiana Faucheux Ancestors are, I believe, St John the Baptist at Edgard, St Phillip at Vacherie and St Charles Borremeo on Bayou Lafourche. There are 14 published volumes of sacramental records for the diocese of New Orleans during the colonial period of Louisiana through about 1820. I have also fleshed out the Ockman, Roger, and Theresie Faucheux ancestors back 7 generations from our parents. All this is work in progress at various stages of presentation and notes I will be glad to share with you.