Some new possibilities for pub sing parting songs:

Walk the Road sung by Ed Miller from the album Come Awa’ Wi’ Me also sung by Kate Rusby

Exiles Return by John Doyle and Karen Casey from the album of that name

Mormond Braes  performed by The Old Blind Dogs from the early album Legacy

Snows of France and Holland by Brian McNeil 

The Road I Go sung by Cathy Jordan (Dervish) from her solo album All The Way Home