This takes me back.

I have the words as:

Down at the station early in the morning
See the little puff-a-billies standing in a row.
See the engine driver turn the little handle;
Puffity-puffity-whoo-whoo, off we go.

What the Americans call a locomotive, we called an engine, which after Beeching was replaced by diesels.

I always thought the engines were standing side by side in rows.

As Shaw said "England and America are two countries divided by a common language", though I think he meant the Britain.