There is an 1850 printing of the music hall version, referred to by Malcolm, on the Glasgow Broadside Ballads website. Just Google GBB and it should come up if you scroll down the first page a little.
It was printed by the Glasgow Poet's Box. the designated tune is 'The Sporting Hero' and the chorus runs:-

Mush a ring a do a da fal lal da do da addy
Mush a ring a do a da there's whiskey in the jar.