"The Granadeers' Rant", commencing "Captain Hume is bound to sea, Hey boyes, ho boyes" (ZN465) has the same verse form and meter. It was to be sung to "Hy! the brave Granadeers; Ho", and that is probably another title for the same tune as "The Benjamin's Lamentation". It's also late 17th century, but the broadside has no imprint, so it's not possible to say if it's earlier or later than "The Benjamin's Lamentation" [It is probably also in Firth's 'Naval Songs and Ballads' which I don't have. Firth's transcript of it is in Bodleian Firth MS c.17, fol. 19]