I was on a late Lake Shore from ALB to SPG a few years ago. We arrived in Pittsfield just before the westbound LSL. After we pulled out of the station heading east I heard the conductor about 2 rows behind me say "You're not getting to Cleveland on this train". He gets on the radio and the train stopped I estimated about a mile out of the Pittsfield station. I have forgotten what they announced but the conductor went to the back of the car that I was in (the last car) and talked the dispatcher. Then he talked to the engineer to back the train into the Pittsfield station on the radio. Two people went past me with the conductor, got off, and we proceeded east onto a siding and waited for the westbound LSL to go by. Then we started up again. But I just loved that line from the conductor...
Since our train was late and ended up arriving at about the same time that the westbound was scheduled to arrive I guess they saw the train, assumed it was the westbound, and got on it. I assume that they also didn't pay attention to announcements at the station that would have told them to wait for the next train in the other direction.