The Focal Encyclopedia of Photography has a short but highly explanatory section on Fresson. At the time of my Third edition (1993), not only was Fresson still doing prints but also, under license, Luis Nadeau in Canada. It also mentions work done by Shiela Metzner and Bernard Faucon and cites the book: Nadeau, Luis, "History and Practice of Carbon Processes," Fredericton, New Brunswick, Atelier Luis Nadeau.
The process does seem to be related to gum bichromate. The explanation in the Focal Encyclopedia says that the unexposed pigment is removed by gentle abrasion, which probably means the sawdust mentioned above. One of the posts above mentions that the gum is sensitized by floating it face up on the dichromate solution. That, if carefully controlled, could be a key to the success of the process. The dichromate penetrates from the bottom up. With careful timing, the top contains less sensitizer than the bottom and is less sensitive to light. That will make less exposed parts of the top wash off first.