Actually those are a post Civil War issue - evading the Federal 10% tax on privately issued banknotes by being issued by a railroad ostensibly for paying for fares.
Unlikely to have been fully issued. It’s possible it could still circulate; I own a Mexico Sonora peso note where over 95% of existing notes are uncirculated unissued remainders. Sometimes the remainders find their way into circulation but it’s rare anyways, I don’t believe the OP note was a circulating issues and I doubt many, if any, actually traded hands
The State of Florida was issuing currency post Civil War, again in some contravention of the law(loosely enforced post Civil War in the South) and they failed to pay American Banknote Co for the printing, ABNCo withheld the rest of their printings and Florida eventually paid up, but not in full. The last State issued paper money was issued in Mississippi in 1896, after the Governor was arrested in 1894 because the currency looked too close to the United States federal issues they changed the design of the warrants with the 1896 issue and then stopped issuing the notes.
I have some "circulated" remainders, but wonder that they were kept as pocket pieces or used as play money by kids. I doubt this really circulated without signatures etc - but not sure.
That's one very well preserved note. I found a couple of sites that have info concerning your TRR Co. note: https://www.novanumismatics.com/floridas-tallahassee-rail-road-its-obsolete-scrip/ https://hometowncurrency.org/tallahassee/