Dunc, The End Of Me Old Cigar is the title of an old music-hall song:
While I was out a-walking
One evening in the park
I came across a lady
A-standing in the dark.
She said,"Could you assist me,sir,
I've wandered rather far
So I takes a puff and I shows 'er the way
With the end of me old cigar.
Ch. Oh, the end of me old cigar.
Tra la la la la la
I takes a puff and I shows 'er the way
with the end of me old cigar!
That's not the first or only verse but I can't remember any more right now.

troll