Those are pictures of barrels enclosing springs which are wound up. One is to drive the pendulum and hands, thus keeping the time, called the "going train". The going train incorporates a lifting mechanism to set off the striking. The other is for sounding the half hours and full hours on a bell called the " striking train". Although almost identical it is best practice to keep the barrels in their original positions, from new.
On other clock barrels I've noticed just different marks on barrels. It could be initials for their uses. They were most likely put on during manufacture as I've never seen a blank barrel.
The area of Franche-Comte is in France but close to the Swiss and German border. There was a huge clock making industry there in the 19 century so I would think this is where my movement was made.
Very helpful and conclusive I would think.