Actually the big top marble is a Slag and the others are known to most as Multi-colored swirls. And,
the "machine" patented by Miller is a set of rollers that made marbles round. it did not affect the design.
the miller "machine" rolled marbles 7/8" and bigger, and in addition to rounding early marbles, it was used recently to round the rootbeer floats and novas.
the "machines" that affected the patterns came from Sellers Peltier - they were feeders. one for "swirls" and one for "ribbons". they were patented a couple years apart - the swirl feeder was the earlier of the two, but i think the ribbon one was used more.
in making marbles, you need some way to feed glass, and some way to round them (rollers). you also have shears to cut the glass, and this can affect the pattern, but the rollers do not affect the pattern.
hence, you can not tell what machine made a marble "round" by looking at its pattern, and therefore, there's no such thing as a "miller swirl" in this context.
Did you ever take care of this? Leroy getting burnt