For many years prior to the Civil War, Remington not only made muzzle loading rifles, but made and sold barrels to gunsmiths for building rifles. My sources don't list anyone of that name as a gunsmith in that area, and a Google search turns up nothing of interest except that Thompson is a common name in Jackson, Michigan (there is even a Thompson street).
If the Thompson marking is stamped, it is most likely the name of the gunsmith. If it is engraved, sometimes it is the name of the person for whom the gun was made.
Sorry I can't be of more help.
Jim
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