Frank, could this be the song you want? I found it here (click). It was unattributed at that Website, but I've heard it sung by the New Christy Minstrels. Yeah, it's Randy Sparks - and I suppose it's not the one you want.
-Joe Offer-

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MIGHTY MISSISSIPPI
(Randy Sparks)

Mighty Mississippi, roll along
Lazy river, sing your song
And it's away, Dixie, steady as you go
On your way down to the Gulf of Mexico

Oh! ol' man river keeps on callin' me
There ain't no place on earth I'd rather be
Well it's Greenville, Vicksburg and Natchez down the line
It's fare-thee-well ol' Memphis, Tennesse

Mighty Mississippi, roll along
Lazy river, sing your song
And it's away, Dixie, steady as you go
On your way down to the Gulf of Mexico

Well, I used to ride aboard that River Queen
It was many a game of fortune I have seen
Oh, once I lost a million and I won it back again
On the way from Baton Rouge to New Orleans

Mighty Mississippi, roll along
Lazy river, sing your song
And it's away, Dixie, steady as you go
On your way down to the Gulf my honey!
On your way down to the Gulf my baby!
On your way down to the Gulf of Mexico
"One more time!"
On your way down to the Gulf of Mexico

transcribed from The Definitive New Christy Minstrels CD. This song was on the Ramblin' album, recording in 1962-63.