B for Barney, R for Ross
All for my love Barney Ross
All the world will never never know
The love I had for my ban- tier (spelling?pronounced tire) o

My ban-tier o, my ban-tier o
the love I have for my ban-tire o

--that's the way I remember it. A song from linen mills is my guess; Barney must have tied up strings on the looms or something like that. That might help someone else to give you the information or you might look up a book on a relevant topic (I think there's one title "Tie Up Your Ends" - ?)

I'll add another note when I remember the name of a man I heard singing this song (on a recording), He's still in Belfast and doing TV and film production, I believe his company is called "Flying Fox"