Well, I would have bet it was a parody of Long Time Travelin'; but the same verse can be found in an Isaac Watts hymn called Saints Delight, a more likely candidate.

Using Jim Dixon's method of extrapolation in Google Books snippet view, I get this (click):

I wish I had a rifle tall,
To point into the sky
I'd never do a stroke of work
But live on pigeon pie.

I heard the voice of Twiggins say
Come let us work no more,
Lay down thy ommer and thy tongs
And beg from door to door

John Wesley had a bony hoss
As lean as ever was seen,
We took him down to Hayseech Brook
And shoved him yed fust in.

Chorus:
Bright crowns laid up, Laid up for you and me,
Bright crowns, bright crowns
There's a crown of victory.

...and my extrapolation indicates the name of the song might be "Bright Crowns Laid Up."

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The song seems to be in to British books about the Black Country, Michael Raven's Folklore and Songs of the Black Country, Volume 3; and Jon Raven's The urban & industrial songs of the Black Country and Birmingham. I'm going to add "Black Country" to the thread title temporarily to see if it will draw someone who has one of those books - although my guess is that pigeon pie was more of an American delicacy....

-Joe-