It seems that the verse goes back to white gospel of the 19th c.
I doubt that it ever was a spiritual, in the slave and plantation song sense.
Burke, I believe that Lomax was correct as far as Negro use of the song is concerned. It did not appear in the songs collected by Fenner in the 19th c. from Negro sources (the Cleveland Index is in error), but was added in the 1926 edition by Dett, and there it is noted as collected by him ("I'm striving to make it my home"). Nor does it seem to have been found in any of the books on Negro song or spirituals of the 19th c.

I will post Dett's version in the thread on Poor Pilgrim.