Several of the songs, or versions of them, are available here (found via the "Digitrad and Forum Search").  Listed below to avoid later duplication:

Deep Lancashire: Songs and Ballads of the Industrial North-West. Various Artists (Topic 12T188, 1968):

The Hand-Loom Weaver's Lament: Harry Boardman
Hop Hop Hop: The Oldham Tinkers
Beg Your Leave: Pete Smith
Ale is Physic For Me: Mike Harding
Gettin' Wed: Harry Boardman
Clogs: recited by Harvey Kershaw
The Merry Little Doffer: Harry Boardman
Rawtenstall Annual Fair:  Lee Nicholson
(Additional verses:  Lyr Req: Rawtenstall annual fayre
Coalhole Medley: The Oldham Tinkers
For part of this, see:  What Is Jennie Weeping For
Cob-a-Coalin': Harry Boardman For other texts, see:  Cob-a-Coalin'
Seaur Pies: John Howarth & the Oldham Tinkers
The Bury New Loom: Harry Boardman
Version in the DT:  Bury New Loom
Ten Per Cent:  Pete Smith & Mike Harding
A Mon Like Thee:  John Howarth & The Oldham Tinkers
The Lancashire Liar: Harry Boardman.

Malcolm