Dear Les,
The great legacy of folk and traditional songs that originate in Ireland have no connection with Music Hall as there never was no tradition of music hall in Ireland. (other than theatre in Dublin) There were , however many songs which gained popularity in the USA (Ill Take You Home Again Kathleen/ Galway Bay/ Does Your Mother Come From Ireland/ How Are Things In Glockamarra etc) in and around the turn of the 19th/20th century where 1st generation Irish and Irish/Americans performed in American music hall and vaudville.
pjc