Mineral spirits will not touch dried paint. More likely to strip finish
off hardwood floor, if it is only wax. Paint stripper will give the
same result, only worse.
What is the finish on the floor, if it is known?
How big are the spots?
If small, I would get a box of single edge razor blades and a pair of
knee pads and start scraping, very carefully, at the spots, going just
far enough to remove the paint. You may still have to wax or repair
the floor finish where the spots were.
Good luck...