What you were told is not true. Bullet-casings with no headstamp (marking) can be either military or "commercial" (meaning, made for civilian usage).
Thank you for making the sideview photo of your casing, and for providing the precise measurements. They allow me to be at least 90% sure of your casing's ID, if not absolutely 100%.
According to the photos and your measurements, the casing is the "external centerfire primer" type, and its cylindrical main body is 1.76" long and .56" in diameter slightly above the base-rim. By doing extensive research to eliminate various possibilities, I believe your casing is a US .50-70 "Government" rifle bullet-casing, using the Farrington 1872-Patent external primer. Therefore, it was manufactured by the United States Cartridge Company, sometime between the mid-1870s to 1880s.
Background:
The .50-70 "Government" rifle made its first appearance in 1866, and was replaced in Army service in 1873 by the .45-70 "Government" rifle (also known as the Springfield Model-1873 rifle). Many of the now-obsolete .50-70 Government rifles were sold to the public as "Army surplus," and got used for big-game hunting, such as buffalo hunting. That is why civilian-owned ammunition companies (such as United States Cartridge Company, and Remington Arms Company) produced ammunition for Army-surplus rifles.