Someone asked me in a PM for this British music-hall song. I couldn't find the whole thing, but I found a quote, which seems to be the chorus:

ARE WE TO PART LIKE THIS, BILL? (excerpt)
Harry Castling, Charles Collins

Are we to part like this, Bill? Are we to part this way?
Who's it to be, 'er or me? Don't be a-frightened to say!
If ev'rything's over between us, don't never pass me by,
'Cos you and me still friends can be, for the sake of the days gone by."

[Sung by Kate Carney, and by Emmie Joyce, both recorded in 1932.]

As far as the tune goes, there is a link on this page that will play a 1:27 sample of the tune played on an accordion:
http://www.melodylane.net/ianwhitcomb/

Can anyone supply more lyrics?