Nigel:

I should correct myself and say the modern excursion is the 'Lonesome Pine Limited'.

And yes, by the time North American rail professionals, let alone musicians and newspaper reporters, do their thing the UK cognates are pretty much history.

Americans name and number their trains, locomotives and routes. I take the Lonesome Pine as more of a route or service name like the bigger Orange Blossom Special or City of New Orleans where locomotives got added and dropped all along the route. Maintenance wasn't always timely but the service was, so the cars might change out over the seasons.