:::Wikipedia:~ "Pretty Polly Perkins of Paddington Green" is the title of an English song, composed by the London music hall and broadside songwriter Harry Clifton (1832–1872), and first published in 1864.
Most of Clifton's songs adapted their tunes from old folk songs and it is possible that a folk tune is also the origin of the tune for Polly -- some see a resemblance to "Nightingales Sing", also known as "The Bold Grenadier":::

Does anyone else observe a similarity also to "Bunclody", an emigrant song sung by Luke Kelly, Dick Miles [both versions on Youtube], et al, which consists largely of floating verses. If that song's tune is indeed related to "Polly Perkins", as my ear suggests, which would have come first?

~Michael~