I would agree with randomhead, with a slight alternate meaning for the poetic form.
"Here comes the train" is a statement about timing. It's saying that, at the current moment, the train is comming.
"The train comes here" is a statement about location. Its saying that this is a place where the train comes. It says little about when it may arrive, just that it is along the path of the train.
"The train comes" is definitely a poetic phrasing which is not normally heard in speech. The valid uses for this phrase that I can think of (as an American English native speaker) all speak to something that cannot be stopped. "Here comes the train" speaks of the train being on its way, but something could derail it (literally). "The train comes" is a phrasing that suggests there's nothing that could be done to stop the train. You could throw your body on the tracks, and it would still come. It's almost a prophetic phrasing, declaring what the future will be.
Again, this would rarely appear in speech. I forget my archaic tenses, but it really uses a tense that we no longer use regularly.