Note, Murray's old notes after the 1st version are not yet updated to indicate we now have a tune for it. Here it is from Richard Robinson's website.

X:1
T:THE WHIRLIE WHA
S:Aird's 'Airs', III (1788) from Richard Robinson
M:6/8
R:Jig
K:D
A|\
A2d d>cd| e F>GF E A2d d>cd| e F>GF E A|\
d2a a"tr"fd| Bgf g>ec| d>ed d f>ed d>ef| eGF E<(dc)| d3 d2:|