Sorry to return to the point after so many flights of fancy but my copy (actually I have three of different ages) of the Hackney Scout Song Book (first edition 1921 - this one is the ninth edition (1959) and their contents may have differed) attributes the song to W Hope Jones of whom I know nothing but for whom I will look. [Note the avoidance of terminal prepositions.] The copyright acknowledgment thanks him but makes no reference to a publisher.