In times past, a lot of railroad companies were a little more relaxed about enforcing their own speed limits, particularly on lines that had at one been faster but were forced to slow down the ICC (now FRA) signal rule.
Higher speed limits did also exist on a lot of railroads in teh past. At one time the former ACL did have a 100 mph speed limit for a goodly distance north of Jacksonville, but that was reduced to 90 mph, and later to 79 mph after the ATC equipment was removed. Likewise, the ICRR had 100 mph allowed in certain parts of Illlinois. However, the City of New Orleans was well know for going above the 79 mph limit prevailing south of this segment through the 1960's at least. The former Burlington Rock Island Joint Texas Division had no signals at all in the late 1940's, but allowed the Twin Star Rocket and Sam Houston Zypher 90 mph. The line is now 40 mph for anything.
The current legal (lawsuit happy) environment and government regulation situation have brought these practices to a halt. Now, if a train exeeds 79 mph it is likely to be to no more than to about 80 or 81 due to slow correction for downgrade or spedometer error.
Then too, the Twin CIty Zephyr route must have had some top-notch high speed. Since that train won the "speed survey" by Don Steffee in TRAINS Magazine for several years.
There were two smaller town in Illinois, somewhere between Chcago and the Twin Cities, where it made an average of 80 plus mph. Must have gone way over that for it's top speed though I never actually heard what its top speed was. Of course maybe the terrain was extremely flat and straight and maybe it ran consistently fast without many obstacles.(which could mean its top speed was not too much greater than 81 or 82 or whatever it was. -
I remember at least one year the City of New Orleans won the title.