This beautiful piece was taken from "Les Maitres Parisiens de l'Orgue au 19ème Siècle" a 3-part collection by Kurt Luders (Forberg Muikverlag).
Chauvet (1837-1871) seems to be best known today thankts to his nine offertories on noels, published in 1867-69.
This is based of "Grâce soit rendue au Dieu la sus".