The Traditional Ballad Index refers to one other version, found in Ballad Makin' in the Mountains of Kentucky, by Jean Thomas (1939). It's on page 175 of the 1964 Oak Publications edition. The singer is named Hezeziah, but his last name is unclear to me.

FAREWELL TO CARTER COUNTY

Come all my friends and dear relation
The truth to you I am going to tell;
How my heart beats with contemplation
To think to bid you all farewell.

It grieves my heart, it grieves me sorely
To think to leave you all behind;
But when I am in some distant climate
I hope to you they will be kind.

I never give up to no such passion,
I justly will lament my woe;
If on earth our paths cross no more,
Oh may we meet on Canaan's shore.

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And back to Jenny's original question, I think we extrapolate to the conclusion that there is only one known traditional verse to this song, and our sources go back a long way - to the Social Harp (1855). But does anybody know of an online copy of Social Harp, so we can see for ourselves?