There have been many articles written about Jean Samuel Pauly and his contribution to the history of firearms development. One excellent source recently looks in detail at the patents by Pauly, Roux, Picherau and Lefaucheux. You can read about it here:

Priestel dives deep into the modifications by Pauly and the successors to Pauly’s company, but there are a few other improvements to the Pauly system by other prominent gunmakers of the day that are not addressed in this publication. A couple of these were mentioned in a French gun magazine’s article in the 1970s, but other than the brief mention there, there is nothing I could find published that goes into detail on the following improvements to the Pauly gun and cartridges.

So I gathered the patents, transcribed them and will detail the improvements here!

Jacques-Joseph Plomdeur | 1825-03-31

Jacques-Joseph Plomdeur was a well known gunmaker who had a business at 25 rue des Fossés-Montmartre and later at 5 bis, rue du Faubourg-Poissonnière. He was best known for his improvements to primers and percussion caps which he held a few patents on. In the 1830s he took out many advertisements for his improvements to guns and primers such as the following:

On 31 Mar 1825, Plomdeur took out a French patent for 5 years for an improvement on Pauly guns.

There are two main areas that he addresses. First is how the hammer is connected to the plate, passing all the way through, which allowed for considerable fouling throughout the inside.