In the interests of truth in labeling some facts about this prolific publishing house need to be considered.
During the 19th century the Dublin Publishing House re-printed hundreds of broadsides from London -- the 7 Dials publishers in particular. These songs came in turn from English and Scottish collections, from new songs written in London, and from performers in London. They also published some songs from Ireland and from Irish song-writers living in Ireland and elsewhere.
Also to note is the theatre in Dublin where performers from London and from North America took their Minstrel songs and dances. Clog-dancers, and bell-ringers, from Lancashire, singers, actors...

This is not the only problem of definition but for the last few decades it's been a big one.
Cheers, Joy