Your description fits the Remington-Lee in .45-70 caliber. The rifle was designed by James Paris Lee, an American that pioneered the bolt action that bears his name.
The Lee Rifle Co. made small quantities and Remington made a larger batch (several thousand) for trials by the US Army in the early 1880's. It performed well, but Army officials thought repeater rifles would make troops waste ammunition.
The rifle was rejected by the US Army, but the action went on to fame and fortune as the famous Lee-Metford and Lee-Enfield of British Army fame. :shock: