Joan Baez sang the verse as:
The river Jordan is muddy and cold,
It chills the body but not the soul.

"All My Trials" was apparently collected as a lullaby, one or two verse, in the Bahamas. It does not appear in any of the 19th century collections.
The song was added to or revised by various groups during the folk revival of the 1950s and later. Some regard it as a spiritual song.

I would appreciate valid information (as opposed to hearsay) on the origin of the song and its first introduction to the folk song circuit. Cynthia Gooding and Bob Gibson (1956) may have been the first to introduce it. Glenn Yarborough sang it in 1957 and Belafonte sang it in 1959.