Your link does not work lighter. Yarmouth Town was evidently sung by Peter Bullen. I have just read your lengthy post on the subject from 2015. I think collected is the correct term, whether the Bullen family composed it or not.
A comparable song genealogy would be 'Three Hearty Young Poachers' (Roud 1690) collected by Gardiner in Hampshire. The song was purely local and was never taken up by the purveyors of street literature, and only collected twice within a seven-mile radius, the second time the singer had a confused version.
The singer was John Hatch of Winchester and Richard Reed of Bishops Sutton Hampshire 1906/7. It is to be found in 'Southern Harvest'. A more modern comparison would be Derby Smith and Ambrose Cooper singing 'Will there be any travellers in heaven?' Both claim authorship. Numerous songs with known authors have been collected from tradition, so why should poor old Yarmouth Town be any different?