I found a picture of the movie and it sure looks like a Sharps. If, as the script says, he was an "ex buffalo hunter", then most likely it will be a Sharps. There are some Italian copies. Pedersoli's are the best of the Italian copies. For the most part, Pedersoli makes the Sharps for Uberti. The other Italian ones suffer from soft lockwork, too long chambers, rough barrels. In other words, you do get what you pay for.
If you are really interested in one of these rifles, be prepared for the investment. With about 2K'ish landed (tax and shipping, keep in mind Shiloh's prices are without FET), then you have to add in another 1500 or so for sights, the reloading equipment and supplies to really shoot black powder (while you can shoot mild smokeless rounds, they really are designed and safer with black powder).
You can get the Italian models for less expense, depending on the exchange and shipping rates. But still, an entry level Pedersoli is going to cost around 1000, 1100 or so.
Buffalo Arms is one of the places folks gets supplies from.
http://www.buffaloarms.com/
If the initial cost doesn't frighten you off, then owning and shooting one of the old buffalo rifles is quite gratifying. (Keep in mind, Shilohs are hand built semi-custom rifles [semi- because they are not "one-offs"]). Developing loads takes time, but you would be amazed at the accuracy of these firearms. There are numerous matches around the country and folks shoot out to 1000 yds or beyond with IRON SIGHTS.
While I can't do it every time, this is my best group to date with one of my old time rifles, off cross sticks, iron sights.
This is at 200 yds. That is 5 shots. I came in SECOND place with this group. When I shifted from the sighter target to the For Score target and the first shot was not in the bull, then I decided to simply see how tight a group I could shoot and not do sight corrections.