A couple of examples of very French Sandwich glass in the 'oval" hobnail pattern.
https://jeffreysevans.com/auction/assorted-pressed-sandwich-glass-articles-lot-of-four/
The puff box matches almost perfectly the the sugar no 43 illustrated in m's first link of pressglas-korrespondenz provided earlier in this thread. The difference according to Barlow/Kaisers sandwich guide is that the American version has a rough pontil mark inside the lid under the stem and the French version does not. They also say the French version is lighter in weight. The blue under plate in the link has 16 points and the French illustrated in pressglas-korrespondenz 14 points.
https://jeffreysevans.com/auction/blown-molded-oval-hobnail-cologne-bottle-11/
Nice to see both vases together to compare Wingedsphinx - thank you for posting. Mulling it over. There were two pieces in Pressglas Korrespondenz, one here (seite 7 here) which showed a Saint-Louis vase with a pointed knop body,
https://www.pressglas-korrespondenz.de/aktuelles/pdf/pk-2007-2w-sg-louis-dose-ananas.pdfand the other a link I provided on a previous post in this thread which showed a yellow perfume bottle with a wavy rim.
Of course neither of those characteristics are determinative on their own. However, perhaps it shows Saint-Louis produced molds with those characteristics?
The other thing I found interesting relating to the post I've quoted here, is that I have two mid 19th (?) sugar boxes/melon boxes which I think are Bohemian. They are exceptionally well made and neither has a pontil mark or a rough pontil mark on the inside of the lid where the stalk of the melon is applied to the lid. Inside the lid is just a smooth slight dent at the point the stalk is applied.