This puzzles me busy for quite a while and now a friend came around the corner with a pocket watch and the same question. Therefore I gues its a good idea to cry the question out in the hole world.
Here are some Reinhilde's definetly made for the german market with german language on the dustcover
The oldest one I found is a nice ladys watch and the only one without A.E.S. hallmark
The case and the movementnumber are identcal (305456) inside a 12'' Zenith do his work (Personally for me it is more a minibillodes)
The inscribtion of the duscover and the style as well as the identcal numbers date this watch between 1896 - 1900.
The next one is a Gallonne with a 278 Zenithmovement:
the dustcover proves that GFJ likes to write his name look at the second gold medal on top:
I don't know the movement number beyond the dial but with the casenumber 350063- 417 and the patent number on the movement 17358 which Georges Favre-Jacot has registratet at the 13.02.1899 this watch can quite surely datet 1901-1905.
The next one is quite simular but another Zenithcaliber Nr.151111027 and Case number 26886334-2540
Notably I would date this watch and the following cause for this thread around 1910 and the medall win 1900 isn't mentioned on the dustcovers..unusual for Georges Favre-Jacot.
His watch has a NVS Zenith movement with the number 1679824 and the case number 2630242-6216. The dustcover is 100% identical o he one above and therefore without Grand Prix 1900 also.
These four watches and some sights within the net document that it was a cooperation over at least 10 years with different "models". They are not very rare and volume should not be very smal. Because of the german inscription we search a big watchdealer or producent. Within some auctions they connect it to Alfred Eppner Silberberg. This would be fine but it lacks evidence doubts exist. Eppner was in this aera based on quality germans number two behind Lange. They build watches in Silberberg but they were sold in Berlin. Usually watches which was just trade own a sign of Eppner Brothers Berlin. Andreas/Mikrolisk wasn't able to find something with evidential value. May be someone here within the WUS can help that Reinhilde find her roots.
Addition: Sorry for all the numbers. They are a special for a member here who don't clear his PIN list