We come slightly closer with "The Sailor's Meeting," an undated broadside in the Madden Collection. The woodcut block, however, is identical right down to the marred right-hand frame to that of "British Tars Rewarded," which seems to have been written in response to the Spithead Mutiny of 1797:

                         THE SAILOR'S MEETING

                AS I was a sailing down Frances-street,
                A lofty frigate I chanced to meet,
                She was rigg'd and fit for sea,
                And all that she wanted was company.

                I asked then her place of abode,
                She told me it was in Blackfriars Road,
                And if by chance I came that way,
                As the Blue Anchor she would stay.    [sic                              

                I asked her if she would yield
                To let me sport in Cupid's field ?
                That very night she sent me word
                That I was welcome to come on board.

                I am a ship carpenter by trade,
                I forc'd my mainmast into her tail,
                And as it happen'd so it fell,
                Fired was she up to the hill.      [sic                                          

                Come all you sailors, I'd have you beware
                How you enter a man of war,
                I'd have you beware before you go
                Whether your ships are fired or no.

Francis [sic] Street, a short thoroughfare by Regents Square, was renamed Seaford Street in 1865. Blackfriars Road in Southwark was laid out as Surrey Street in the 1760s.

The broadside appears to be later than an earliar, longer, and possibly oral version. I'll post it next time.