I was going to say there were lots of songs in the Sacred Harp that use the theme of Jordan & crossing over it to the Promised Land.

When I checkedI found that I was really thinking of half a dozen settings of the same Samuel Stennett, 1787, hymn. Stennett was English, but his words were definitely popular in the southern US and may have influenced other popular songs. Here's one of the best known versions, I doubt that the chorus is by Stennett & the Sacred Harp has versions with different choruses or none at all.

THE PROMISED LAND
Samuel Stennett, 1787

On Jordan's stormy banks I stand,
And cast a wishful eye
To Canaan's fair and happy land,
Where my possessions lie.

Refrain:
I am bound for the promised land,
I am bound for the promised land;
Oh who will come and go with me?
I am bound for the promised land.

O the transporting, rapturous scene,
That rises to my sight!
Sweet fields arrayed in living green,
And rivers of delight!

Refrain

There generous fruits that never fail,
On trees immortal grow;
There rocks and hills, and brooks and vales,
With milk and honey flow.

Refrain

O'er all those wide extended plains
Shines one eternal day;
There God the Son forever reigns,
And scatters night away.

Refrain

No chilling winds or poisonous breath
Can reach that healthful shore;
Sickness and sorrow, pain and death,
Are felt and feared no more.

Refrain

When I shall reach that happy place,
I'll be forever blest,
For I shall see my Father's face,
And in His bosom rest.

Refrain

Filled with delight my raptured soul
Would here no longer stay;
Though Jordan's waves around me roll,
Fearless I'd launch away.

Refrain

Words from Cyberhymnal
Music by Miss M. Durham Southern Harmony