The Cyberhymnal has a song called OVER JORDAN. Except for the phrase "over Jordan," the lyrics are completely different from those posted by JohnInKansas above.

The tune of the MIDI file at Cyberhymnal perfectly fits the lyrics given by JohnInKansas, but it doesn't quite fit the lyrics given by Cyberhymnal! I suspect the editor of Cyberhymnal accidentally conflated the lyrics of the refrain with one of the verses. Here's what Cyberhymnal has:

OVER JORDAN
(Frank M. Graham, circa 1904.)

O come and go with me,
If from sin you would be free;
You will find it good for thee,
Over Jordan.
'Tis a land of corn and wine,
And there's fruit of every kind;
You will find it is sublime,
Over Jordan.

Refrain

Over Jordan, over Jordan,
O it is a pleasant place,
For I have the "second grace."
Over Jordan's rolling sand
Into happy Beulah land,
'Tis a pleasant place to live,*
Over Jordan.

Refrain

Many will not enter in,
For they want to cling to sin,
And their journey won't begin,
Over Jordan.
And they see the giants there,
For their vision is not clear,
And they will not go for fear,
Over Jordan.

Refrain

Our leader is the Lord,
And we have His precious Word;
We will use it for our sword,
Over Jordan.
So you need not ever fear,
For He's promised to be near,
And you'll find Him very dear,
Over Jordan.

Refrain

Now won't you come and go,
While He's pleading with you so,
Where the milk and honey flow,
Over Jordan.
If you'll get the "second grace,"
You'll be talking face to face,
While you're running in the race,
Over Jordan.

Refrain

[*Note this line doesn't rhyme with anything, which makes me suspect a transcribing error.]