Here is the version given by John Sampson in his 1926 book.
He says, "This is a very popular Capstan Shanty, and was common to all ships where the English language was spoken. it has an inspiring chorus and was used almost wholly when heaving up the anchor outward bound.

Oh were you ever in Rio Grande,
Away Rio,
It's there that the river runs down golden sand,
And we're bound for the Rio Grande.

So it's pack up your sea-chest and get under way,
The girls we are leaving will get our half pay.

Sing goodbye to Sally and goodbye to Sue,
And you who are listening, goodbye to you.

We've a jolly good ship and a jolly good crew,
We've jolly good mates and a good skipper too.

Now fill up your glasses and sing "Fare you well,"
To the bonny young lasses who loved you so well.

"Goodbye, fare you well, all you girls of the town,"
When we come back again you shall have a new gown.