If the rifle was made in 1890, it is almost certainly not made for smokeless powder, and the caliber is .32 WCF (aka .32-20), not .32 Winchester Special, which was not introduced until 1902 (it was always a smokeless powder load).
Current .32-20 ammo is lightly loaded and can be safely used in the older rifles like the Winchester 1873 and that Marlin.
Jim
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