Stan Hugill published his version of the song in his last book, "Songs of the Sea" (1977)(all spellings sic):
^^
THE LEAVING OF LIVERPOOL (from Hugill)

    Fare-ye-well the Princess Landing Stage,
    River Mersey fare-ye-well.
    I am bound to Californaye-a.
    It's a place I know right well.

    CHO:
    So fare-ye-well, my own true love,
    When I return united we will be.
    It's not the leaving of Liverpool that grieves me,
    But me darling when I thinks of ye.

    I'm bound to California,
    By way of ol' Cape Horn,
    An' I bet that I will curse the day
    An' the hour that I was born.

    I've shipped in a Yankee clipper ship,
    Davy Crockett is her name.
    Captain Burgess he is tough, me lads,
    And the mate he's just the same.

    'Tis me second passage with ol' Burgess,
    An' I think I knows him well.
    If a man's a sailor, he can get along,
    But if not, he's sure in hell.

    Fare-ye-well to Lower Frederick Street,
    Anson Place, and Parkee Lane.
    'Tis a long, long time, me bucko boys,
    Ere I see you again.

    So fare-ye-well my own true love,
    Goodbye, my love, goodbye.
    'Twill be a long, long time, my dear,
    But my darlin', don't ye cry.

Hugill's tune is virtually identical to Maitland's, as printed by Doerflinger. Of the song itself, Hugill states merely that Maitland's was "the first version to be printed." There is no way to tell whether Hugill heard this somewhat modified and shortened text at sea, or whether - perhaps more likely - it was simply his own adaptation of what he saw in Doerflinger.

BTW, versions containing the stanza beginning, "The sun is on the harbour, love..." appear to have originated with the Clancy Bros. and Tommy Makem, ca.1963.