Does this fall into what you'd be looking for.

Handloom V. Powerloom

Come all you cotton weavers, your looms you may pull down
You must get employment in factories, in country or in town
For our cotton masters have a wonderful new scheme
These calico goods now wove by hand, they're going to weave by steam

In comes the gruff o'er looker, or the masters will attend
It's you must find another shop or quickly you must mend
Such work as this will never do, so now I'll tell you plain
We must have good pincop-spinning or we ne'er can weave by steam

There's sow-makers & dressers & some are making warps
These poorpincop-spinners they must mind their flats & sharps
For if an end slips under as sometimes perchance it may
They'll daub you down in black & white & you've a shilling to pay

In comes the surly winder her cops they are all marred
They are all snarls & soft bad ends for I've roved off many a yard
I'm sure I'll tell the master or the joss when he comes in
They'll daub you down & you must pay so money comes rolling in

The weavers' turn will next come on for they must not escape
To enlarge the master's fortune they are fined in every shape
For thin places or bad edges a go or else a float
They'll daub you down & you must pay 3 pence or else a groat

If you go into a loom shop where there's 3 or 4 pairs of looms
They all are standing empty a cluttering up the rooms
And if you ask the reason why t'ould mother will tell you plain
My daughters have forsaken them & gone to weave by steam

So come all you cotton weavers you must rise up very soon
For you must work in factories from morning until noon
You mustn't walk in your garden for 2 or 3 hours a day
For you must stand at their command & keep your shuttles in play

From "Folk Songs & Ballads Of Lancashire" Oak publactions 1973.
A more contempory song dealing with this shift might be Archie Fisher's "Men Of Worth", probably in the database. Interesting thread, are you only looking towards songs from England? Good Luck, Barry