To have a chance to ID the movement, which admittedly is won't be easy no matter what (I'm taking it for granted that there is no name marked on it. This would not be unusual.), you'll have to provide an image of the entire movement. You show the regulator on the balance cock but nothing else.
What I can say is that it's very good that you bought the watch in running condition. The watch has a cylinder escapement, rather than the more common lever escapement, and not many present-day watchmakers work on them. Since it's running, and would probably just need a clean and oil, you shouldn't have to worry about that. Any watchmaker can service it. Still, don't be surprised if some might shy away from doing so.
I believe it would either be of Swiss or French origin. The case looks in nice shape, and may be some form of silver. However, a closer look tells me that the dust cover, at the very least, may be some form of white base metal. Any hallmarks in the case would help figure that out.
The marks are just from watchmakers in the past who were either casing the watch or servicing it. Enjoy the watch and it's tick-talk. And welcome to the message board. Cheers.