Bacarrat?

Found some interesting items recently:

Baccarat Cranberry Glass Cut Crystal Atomizer Made in France for Saks Fifth Avenue

Signed Baccarat Cased & Cut Glass Perfume Bottle

Hawkes Red Cut to Clear Decanter - Flute Pattern

Note that the Hawkes Rich Cut Glass Works was established in 1880 in Corning, New York and in 1890 incorporated as T. G. Hawkes & Co. In its day, the company epitomized the finest in cut glass production, creating over 300 outstandingly beautiful cut and engraved stemware patterns and other pieces. It was however, "exclusively a decorating outlet and purchased all of its blanks (undecorated glass) from outside sources" (http://www.replacements.com/mfghist/hawkes.htm).

So, what I'd like to know is, might the Hawkes Decanter have been made by Baccarat (and then decorated by Hawkes)?