Britain used to have push-pull steam trains for passenger services on various rural lines. These were mostly short trains for relatively short runs, to save the trouble of running the loco around the train at each terminal. The trains had special "driving trailers" for the "train driver", when the train was moving with the loco on the trailing end (or sometimes in the middle of the train).
I've seen references to "motor controls" for remote operation of the steam locos, but in some cases the train driver in the driving coach simply used whistle signals to the fireman on the locomotive at the other end of the train. The fireman would have been busy with operating the throttle-cutoff-brake in addition to his regular fireman duties.
From Wikipedia:
The first company to use the system was the Great Western Railway which, in 1904, equipped carriages and 0-6-0 locomotives as an autotrain to run on the Brentford Branch Line (between Southall and Brentford) as an experimental substitute for steam railcars. Control was by rodding and the mechanism allowed the driving compartment to be either one or two carriages-distant from the engine. With the engine in the middle of a formation, up to four carriages could be used.
https://en.wikipedia.org/wiki/Push%E2%80%93pull_train
I'm wondering if there were any passenger trains in the USA that regularly operated in push-pull mode, perhaps in commuter services where run-arounds at the terminals would have slowed down schedules.
Restored push-pull steam train on West Somerset Railway 2008. Loco in middle of train.