Bayel looks possible but that does not make sense... as the next word should be Cristal and that does not look like it, yet the piece could well be that if it is unmarked.
G Marquet, Veuve et Fils, Verreries SA.
Established in 1666. Other marks are Fains, Fains Marquot, Cristalleries de Champagne, PAR MVB, Mazolay, Art Vannes.
Can you get any of the other letters... might help build the rest up. I played with the label images and got a a fairly clear Francaise but cannot work out the word following it on the top of the label = ??GOR?

If the main name really is Bayel perhaps a retailer label. I would expect an Art Vannes mark.
I would appreciate copies of images to use in the glass zoo, preferred on a light background and various views. If we get positive ID would let you know.