"Shine On Me" by Ernest Phipps and his Holiness Quartet (Bluebird B5540. Bristol, Tennessee. October 30, 1928) can be heard HERE.

The African American Heritage Hymnal (GIA, 2001, no. 527) has this version (with the same text as the one in Songs of Zion, 1981, no. 227):

                SHINE ON ME

1. I heard the voice of Jesus say,
    "Come unto me and rest,
    Lay down thou weary one, lay down
    Thy head upon my breast."

          Shine on me, Shine on me.
          Let the light from the lighthouse,
          Shine on me. Shine on me. Shine on me.
          Let the light from the lighthouse
          Shine on me.

2. With pitying eyes the Prince of Peace
    Beheld our helpless grief;
    He saw, and O amazing love!
    He came to our relief.

~Masato