The next reference to "Rio Grande" in my notes comes in Whall's collection.

1910        Whall, Captain W.B. _Sea Songs and Shanties_. Brown, Son and Ferguson.

1913        Whall, W.B. Ships, _Sea Songs and Shanties_. Third edition, enlarged. Glasgow: James Brown & Sons.

Whall probably learned his shanties in the 1860s-1870s. His "Rio Grande" includes musical score.

Bound for the Rio Grande.

O, say, was you ever in Rio Grande?
O, you Rio!
It's there that the river runs down golden sand,
For I'm bound to the Rio Grande.
And away, you Rio! O, you Rio!
Sing fare you well, my bonny yound girls,
For I'm bound to the Rio Grande.

Now, you Bowery ladies, we'd have you to know,
We're bound to the Southward, O Lord, let us go!

So it's pack up your donkey and get under way,
The girls we are leaving can take our half-pay.

We'll sell our salt cod for molasses and rum,
And get back again 'fore Thanksgiving has come.

And good-bye, fare-you-well, all you ladies of town,
We've left you enough for to buy a silk gown.

***

1914        Bullen, Frank. T. and W.F. Arnold. _Songs of Sea Labour_. London: Orpheus Music Publishing.

Bullen was English, like Whall, but more of a hands-on chantyman. Learned most of his deepwater chanties in the 1870s, I believe. His also includes musical score, pg. 13. The opening melodic phrase is appreciably different from other versions.

14. Rio Grande.

Oh Captain, oh Ca-apten heave yer ship to;
Oh! you Rio
For I have got letters to send home by you.
And I'm bound to Rio Grande
And away to Rio Oh to Rio
sing fa-are you well my bonny young gal,
For I'm bound to Rio grande.