Adams goes on to describe the next category, heaving shanties -- he groups pumps, capstan and windlass without distinguishing. I'd caution against, however, assuming that RIO GRANDE might be used equally for pumps and windlass, in addition to capstan just because he doesn't say it wasn't.
He notes also that many of the halyard chanties might also be used for those tasks.

The third set of working songs comprises those used at the pumps, capstan and windlass, where continuous force is applied, instead of the pulls at intervals, as when hauling on ropes. Many of the second set of songs are used on such occasions, but there are a few peculiar to this use and of such are the following:

RIO GRANDE.

I'm bound away this very day.
    Ch: Oh, you Rio!
I'm bound away this very day, I'm bound for the Rio Grande.
    Chorus: And away you Rio! Oh, you Rio!
    I'm bound away this very day, I'm bound for the Rio Grande.


PADDY, COME WORK ON THE RAILWAY

In eighteen hundred and sixty-three,
I came across the stormy sea.
My dung'ree breeches I put on
Chorus: To work upon the railway, the rail - way,
To work up-on the rail - way.
Oh, poor Paddy come work on the railway.

Many other songs might be named, some of which, peculiar to the Liverpool packets, are of a rowdy nature.

Hmm, I wonder what those "rowdy" songs were.