Here's the tune in abc. I should note that following each verse is a Fol a rol chorus, which I didn't include above. So the entire first verse is:

There were two brothers stood on a hill
As might stand you and I
And between them there arose a dipute
John Barleycorn should die
Fol a rol a riddy-eye | Fol a rol a riddy how die.

Sound familiar to anyone?

X:1
T:John Barleycorn Two Brothers        
C:Trad.
M:C
L:1/4
K:G
E | B B c B/2A/2 | G A/2A/2 B E | B B c d | E3 E/2E/2 | B B c B/2A/2 | G E/2E/2 F A | A3/2 A/2 G E | D4 |
E3/2 D/2 E3/2 F/2 | G/2G/2 E3 | c3/2 B/2 A3/2 G |
M:6/4
G/2G/2 F E3 ||