This is apparently not the oldest version that has been posted, but it's the oldest I can find in Google Books, and it has some unique features.

From Revival and Camp Meeting Minstrel (Philadelphia: Perkinpine & Higgins, 1867), page 272:

1. I am a poor wayfaring stranger,
  A journeying through this world of wo,
Through sickness, sorrow, toil, and danger,
  To that bright world to which I go.

    I am going there to see my mother,
      I'm going there no more to roam,
    I'm just going over Jordan,
      I'm just going over home.

2. I know dark clouds may gather round me;
  I know my path is rough and steep;
But beauteous fields lie just before me,
  Where God's redeemed their vigils keep.

    I'm going there to see my father,
      I'm going there no more to roam,
    I'm just going over Jordan,
      I'm just going over home.

3. I want to sing salvation's story
  In concert with the blood-washed band;
I want to wear a crown of glory
  When I get home to that good land.

    I'm going there to see my children,
      I know they are near my Father's throne;
    I'm just going over Jordan,
      I'm just going over home.

4. I feel my sins are all forgiven;
  My thoughts are fixed on things above;
I'm going away to that bright heaven
  Where all is joy, and peace, and love.

    I'm going there to see my classmates,
      They have gone before me one by one,
    I'm just going over Jordan,
      I'm just going over home.

5. I'll soon be free from every trial;
  My body will sleep in the old church-yard;
I'll drop the cross of self-denial,
  And enter on my great reward.

    I'm going there to see my Saviour,
      I'm going there no more to roam;
    I'm just going over Jordan,
      I'm just going over home.