Alan, we've seen so many different games over the years that sometimes we forget what we've looked at.
And sometimes we're just inexcusably lazy in our research.
Thanks for getting us off our keesters and prompting us to take a closer look at our McLoughlin files.
Again, we haven't seen these die-cuts actually included with any McLoughlin game -- but as far as we can tell without being hands-on,
the artwork of your die-cut player-figures is identical (except for color) to the players illustrated on the playing field
of McLoughlin's circa 1892
Base Ball Game.
So unless our eyes deceive us, we can say that your die-cuts are in fact definitely a McLoughlin product.
Whether they (and the game itself) date to precisely 1892 or a few years earlier or later we don't yet know.