I did some additional research and found that in his book titled Shotguns and Shooting author Michael McIntosh had this to say, in part, on the subjects:
Casimir Lefaucheux, a Parisian, was the father of the pinfire cartridge. As McIntosh states,:
"In 1836, however, he took out patents on a design for wholly self-contained ammuniton and thereby changed the course of modern gunmaking.
"The Lefaucheux cartridge comprised a brass-headed paper case with a pin protruding from the side, just ahead of the rim. Inside the case, the pin's tip rested on a priming cap that contained fulminate--in effect placing the firing pin inside the shell instead of inside the gun. Pinfires, as they were called, weren't the first cartridges to have shot, powder, and a primer all in the same package, but they certainly were handier and more efficient than any that had gone before. They could be carried in pouch or pocket and quickly put into a gun; the shooter had only to make certain that the pins were pointing upward and fit into tiny notches in the barrels. With special tools for recaping and crimping, the cases were relatively easy to reload."
Concerning brass cases, he had this to say:
"Actually any brass case was difficult to manufacture before the 1870s, because it wasn't until about 1875 that American technology reached a point where a brass case could readily be formed in one piece. Even then it was no simple matter. The process began with a brass disc. This was formed into a cup and then, through a series of dies and punches, drawn into a finished case 2.5 to 3 inches long. The complex shapes of the head and primer pocket were an especially taxing problem, but American ingenuity was such that by 1880 Remington, Winchester, and Union Metallic Cartridge Company were all turning out brass cases by the wagonload. The U.S. government made them, too, at the Frankford Arsenal, first of gilding metal and then, after the mid-1880s, of tinned brass."
He also states that, "Remington Arms brought out the first plastic shell in 1960 and thereby started a trend that has since spread around the world."
Good luck, and good shooting!