"When the Chariot Comes" is similar to "Old Ship of Zion" VIII ("Don't Ye View Dat Ship"), from Fenner, 1874, in thread 41005: Old Ship of Zion VIII
Also note that similar verses are in other versions of the "Old Ship of Zion." Some of these verses were noted as early as 1850 (see Epstein) and lines such as "reel and totter" may be applied to both ships and chariots.
Whether these Negro spirituals originally were adapted from White hymns or whether the early White gospel singers adapted Negro spirituals is open to dispute.