Nearly 400 years would pass before we would find further reference to any version of baccarat. It was played amongst the well-to-do of France, particularly in the courts of the briefly-restored monarchy. We understand in this century there were multiple versions of the game. Chemin de fer was popular in France and Baccarat en Banque was popular in England. Chemin de fer remains popular in the casinos of France today.
A little bit of cross analysis of naming conventions reveals that Chemin de fer translates as “railway” putting a firm date of this form of baccarat developing around this year or shortly afterwards. Why? This is when railways first came to France during its own industrial revolution. It’s likely that it existed in this form before then, but the name was applied in the 1830s.