It's a French version of Micolau Sabòli/Nicolas Saboly's carol #48 called "Auprès d'aquel estable". In this thread Artful Codger posted a link to Google Books Saboly's carols and I posted one to the same book on the BNF. It's been "sanitized" because the original version/translation says "Près de cette étable / où est l'enfant tout nu / j'ai rencontré le diable / je l'ai bien reconnu".
Original lyrics and translations to come.