Marcus,
Can't tell you how delighted to learn that a relative of Beckett is still around and singing - one of my heroes.
"Do you know how I can get copies of these please?"
If they still exist they'll be with the MacColl archive at Ruskin College - if you have no luck, I hope to be seeing Peggy later in the next few months so I'll ask her.
Both Drinking and Mowing Match (I think) are included in Richards and Stubbs English Folksinger.
MacColl recorded Drinking on one of his albums - wonderful song.
I can't read music so I had to put my own tune to Mowing Match - the 'With Henry Hunt We'll Go' tune works for me.
Brian - pretty sure the version I learned was 'Whittingham Fair - think it's in Bronson and also in Kidson's 'Tunes' - will check later, but we're about to lose our electricity for the day (the joys of living in rural Ireland!!)
Will happily help with anything you wish to do (as always)
I'm pretty sure the producer of The Ballad Hunters was Olive Shaply, she produced a number of excellent documentaries on social and oral history.   
Greetings to all from The Dark Side
Jim Carroll

DRINKING

Some people   will tell you that drinking's a curse,
While others will tell you it's quite the reverse.
Some drink all their days their time to employ
Some drink when in sorrow and some drink for joy.
Some drink when they're christened, some when they're wed,
Some are drinking your jolly good health when you're dead,
Some drink on all these occasions, like I,
For I drunk at my birth and I'll drink till I die.

Ch. For I mean to get jolly well drunk, I do.
I mean to get jolly well drunk, I do
As long as J'm here I'll stlck to my beer,
For I mean to get jolly well drunk, I do.

I'll drink till the high price of coals becomes small,
Till ale and roast beef they cost nothing at all.
I'll drink till we have no more reasons for strikes,
Till a man values work just as much as he likes.
I'll drink till the law gives a man no denial
For taking a wife out a month upon trial,
Till the dukes and the lords have to sort clean from dirt
And the big Prince of Wales has to clean his own shirt.

I'll drink till all landlords choke as they guzzle.
I mean to keep drinking till bobbies are muzzled.
Till dandies are worth nowt but the clothes they put on.
I'll drink till old Peabody's money is gone.
I'll drink till the laws of the land are made fair
That punish a man for killing a hare.
I'll drink till all wealth is shared out amongst men
And I'll drink and I'll drink till it's shared out again.