Somehow I failed to notice that you already had the link to Reinhard's page. Well, I've not had my first coffee yet. The tune is discussed in Claude M Simpson, The British Broadside Ballad and Its Music: 'Stand thy ground, old Harry' seems not to have survived, but there is a possibility that it may be equated with 'Have at Thy Coat, Old Woman'. The argument is convoluted and Simpson reaches no firm conclusion, but Vic Gammon will have known about it and I'd expect that is the tune used on 'The Tale of Ale'. A transcription to ABC is at the late Bruce Olson's website:

Broadside Ballad Tunes in ABC format: Tunes B100-199