По моему, те же на английском сайте обсуждают
https://mb.nawcc.org/threads/moulinie-aine.72205/
The main company was called simply Moulinie, which morphed into other names (according to Pritchard) as below.
1791-1793 Moulinie, only casemakers
1793-1802 Moulinie & Bautte, also only casemakers
1804-1808 Moulinie Bautte & Cie who made only high quality watches
1808-1821 Moulinie Bautte & Moynier who also made high quality watches and expanded to England and Russia
In 1826, the firm split into Bautte & Moynier, and Moulinie l'Aine & Cie (the latter operating until 1851).
There was also Moulinie Freres, Moulinier & Le Grand Roy and Le Grand Roy & Fils which Pritchard says were simply other names for Moulinie, and there was Jacques Dauphin Moulinier, who was the original Moulinie.
Just to add further to the confusion, Pritchard alleges that any or all of these company names were alternatively spelled Moulinier.
