There's a song on the Cheiftain's 'An Irish Evening' CD called 'North Americay'. It starts out like this:
Ye lovers all both great and small who dwell in Ireland
Oh I pray you pay attention whilst I my pen command...
Then goes on to talk about a young woman who emigrated to North America, following after her lover whom her father had banished.
The liner notes list it as traditional, but I haven't had much luck finding lyrics or history of the song. Anyone have more info?