There was excellent discussion of a variety of immigration / emigration songs on Michael Morpurgo's Folk Journeys programme 4,"Paddy's Green Shamrock Shore",on BBC Radio 4, Mon 9 Nov 2020 which you can access here
https://www.bbc.co.uk/programmes/m000p6fn
It includes

Muireann Nic Amhlaoibh Paddy's Green Shamrock Shore
De DannanRambling Irishman
Paul Brady Paddy's Green Shamrock Shore
Lothlorien Paddy's Green Shamrock Shore
Fine Friday When First I Came To Caledonia
Waterson:Carthy When First I Came To Caledonia
The Watersons The Broom of Cowdenknowes
Martin Simpson Home Again
Boo Hewerdine The Man That I Am
Chris While and Julie Matthews Small Cases Full Of Big Dreams
Chris While and Julie Matthews Pinjarra Dreams
Aidan Moffat & Becky Unthank The Suitcase
Martin Green feat. Adam Holmes & Becky Unthank Laws of Motion
Chris While, Julie Matthews, Georgina Boyes, Jim Boyes, Nancy Kerr, Muireann Nic Amhlaoibh & Rosie Hood Bread and Roses