It sounds familiar, and I'm sure I've heard Hughie Jones sing something like it.

The Digitrad has The Loss Of the Atlantic Steamship. Could that be the one? The captain in that song isn't actually described as 'hard-hearted' as in the song you remember.

In the meantime it looks as if it is indeed "Farewell to the landing stage" after the Pier Head landing stage sank in an exceptionally high tide on Wednesday. The Mersey Ferries website describes this as "operational difficulties"!!!!!