It's a different song Easy Rider. "The Cowboy's Lament" or "The Streets of Larado" was based on the The Unfortunate Rake and still retains the odd request for a cowboy requesting a military burial. "Down by the Royal Albion" was variant of the same tune, that my grandfather sang and I think there has been a number of threads on this, linking it to Locke Hospital and St. James Infirmary, although I only know the latter by a different tune than the others.