Okay, all I had to do was check the Fiddlers Companion website.

"Kinloch of Kinloch" isn't noticeably the "Away With Rum" tune -- given that the writeup says "'Blow the Wind Southerly' is a song based on the 'Kinloch' tune."

"Blow The Wind Southerly" (not the shanty "Blow Ye Winds Southerly," which is a different kettle of fish) is a 19th century English pop song but though the scansion matches, the "Away With Rum" tune differs substantially.

Where to from here, brave little band?

Bob