The above excerpt actually appeared originally in James Kirke Paulding's LETTERS FROM THE SOUTH (1817) and was heard in the summer of 1816. I believe that makes it the 2nd earliest published mention of such a text that I have. The earliest I have is Lambert 1810 (up thread), which has, lo and behold:

" We are going down to Georgia, boys,
CH: Aye, aye,

To see the pretty girls, boys ;
CH: Yoe, yoe.

We'll give 'em a pint of brandy, boys,
CH: Aye, aye.

And a hearty kiss besides, boys.
CH:Yoe, yoe.    "

I believe that makes 3 reference to a similar rowing, so I am going to give it a tag, AWAY TO GEORGIA.