Thanks Guys -
The photos posted are great - please find some attached of the box of bits!
I'm afraid the that the pictures we posted wont be of much help because they are of clocks with a rack and snail strike system, yours is a count wheel clock. Usually one would begin servicing a clock like this my removing the hands, and then unpinning the movement from the clock face. One would then remove the parts that are on the front plate (between the front plate and the clock face). It is important to "let down" the power in the springs before separating the plates and I'm not sure how you accomplished that without removing the clock face without some unneeded drama. You now need to finish the disassembly and clean everything properly and that includes removing and cleaning the springs.
Reassembly begins by putting the cleaned springs back in the barrels (requires a spring winding tool or risk damaging the spring) and placing the parts between the plates. Then add the front and back parts. I'm afraid it isn't quite as simple as it sounds. I recommend
Repairing French Pendulum Clocks, by Steven G. Conover as a general reference for repairing French clocks like this, and
Striking Clock Repair, by Steven G. Conover for a detailed step by step procedure with illustrations for assembling and setting up the strike wheels on French count wheel clock like yours. Please be gentle with it as these parts are easily broken, especially pivots. Sorry, I do not have any "apart" photos of a French count wheel clock.
Good luck with this project.
RC