James Runciman next mentions the song in one of his stories.

1885        Runciman, James. Skippers and Shellbacks. London: Chatto and Windus.

The story, "The Chief Mate's Trouble," is set in 1870. A barque is leaving port.

There was plenty for me to do without thinking of sentiment; yet, sweating and breathless as I was, I had time to feel sad when the shanty-man struck up, "Away down Rio." The chorus goes:

Then away, love, away,
Away down Rio.
O, fare you well, my pretty young girl,
We're bound for the Rio Grande.

We were giving her the weight of the topsails, and all the fellows were roaring hard at the shanty,...