I have looked at the available literature on the subject of Verlux some years ago and it was suggested by several authors that this was a brand name from VSL. However, I could find no firm evidence of this so assumed all authors quoted eachother, and was stuck with a "could be", "might be" or "possibly" formulation. And indeed, now that a Verlux piece appears marked "REIMS", VSL disappears completely.
Reims is the location of several glass industries. It is the capital of Champagne, and produces an incredible number of champagne bottles. It is also the home of VMC (Verrerie Mécanique Champenoise) who produce advertising ashtrays, flower frogs, and general mechanical glassware. I'm not quite sure how VMC came into existence (it is usual to find several mergers, takeovers and name changes over the years) but Verlux may well have been one of their lines.