Remington was a major barrel supplier in the 19th century. Many Michigan rifles used them. Remington also made, or at least sold, locks, and I know of one brass capbox, on a Michigan rifle, stamped "Remington" inside. Photos would, of course, help.
Is the toe of the buttplate perchance riveted to the toe plate? Is the trigger brass or iron? These two characteristics are common in, but not unique to, Michigan rifles. I believe brass triggers were used in NY and New England, on mid-century percussion rifles.
There is a 5-volume set on New York rifles, by the late H.J. Swinney, compiled by Tom Rowe.