OK, here are the rest of the Mulford references that I have in my notes.

Prentice Mulford (1834-1891) was born in Sag Harbor, sailed to San Francisco in 1856, where he settled a while and worked as a writer. Returned to New York City in 1872. He wrote for The New York Daily Graphic, 1875-81.

In 1871, he authored this piece in his hometown newspaper:

"Fifteen Years Ago: Reminiscences of San Francisco in 1856." _The Sag-Harbor Express_, 27 July 1871.

The clipper ship WIZARD, from New York, was tied up at the Valejo street wharf. The passage had taken four months. Mulford was one of seven Americans in the multinational crew. Mulford writes,

//
He [Mulford] gave the Wizard a final jump [pump?] out, to the tune of "Miranza Lee," then marched, hat in hand, to the cabin, was paid off at the rate of five dollars per month, and went ashore, just fifteen years ago.
//

So, "Miranza Lee" was a pumping song.

Next, in 1879, Mulford is writing anonymously as a theatre critic. Here he reviews several recent performances on the New York stage:

"A Gallery God's Reminiscences Past and Criticisms Present of the Stage." _The Daily Graphic_ [New York], 29 March 1879.

Meandering into an editorial-like passage, Mulford longs for an "American comic opera" practice to come about (as opposed to, for example, French operettas translated to English). Such would be, he envisions, filled with "the airs of forty years ago," such as "the old negro songs before the days of Christy…" etc. He goes on to say,

//
There's half a dozen old "shanty songs" that are never heard on shore, sung by sailors at work. Such as "The Bully Boat's a Coming," "Santy Anna," Miranza Lee," "Storm along, John." Take any of these chanted by a Blackball liner's crew as they were making everything taut in the dog watch with top gallant sails set and a lively breeze humming through the rigging, and there's music which would, with a little trimming and polishing, out-Pinafore "Pinafore."
//

Again it's "Miranza Lee"—evidently well-remembered from his 1856 voyage. "The Bully Boat's a Coming" is nowadays known also as "Ranzo Ray."

After this comes the reference, recently posted by Lighter, in the SF _Sunday Chronicle_, 23 Jan. 1881. In it, "Bully in the Alley" takes the place of "Bully Boat" in the list of four "Shanti songs." "Miranza Lee" appears to have been misspelled as "Mirama Lee." The Pinafore idea is repeated.

Finally, Mulford's autobiography, _Life by Land and Sea_, comes in 1889. I suppose it is the final, compiled version of what was earlier printed (in pieces?), because it has the same passage as the _Sunday Chronicle_ piece. But now it's "Miranda Lee"!

Here are the two passage, for comparison:

1881:
"For the first six weeks all the 'Shanti songs' [sic] known on the sea had been sung. Regularly at each pumping exercise we had 'Santy Anna,' 'Bully in the Alley,' 'Mirama Lee,' 'Storm Along John,' and other operatic maritime gems, some of which might have a place in our modern operas of the Pinafore school. There's a good deal of rough melody when these airs are rolled out by twenty or thorty strong lungs to the accompaniment of a windlass' clank and the wild, shrill sweep of the wind in the rigging above."

1889:
"For the first six weeks all the "shanty songs" known on the sea had been sung. Regularly at each pumping exercise we had "Santy Anna," "Bully in the Alley," "Miranda Lee," "Storm Along, John," and other operatic maritime gems, some of which might have a place in our modern operas of "The Pinafore" school. There's a good deal of rough melody when these airs are rolled out, by twenty or thirty strong lungs to the accompaniment of a windlass' clank and the wild, shrill sweep of the winds in the rigging above."

I would guess that "Miranza Lee" was perhaps "Eliza Lee"/"Clear the Track," as that was also a pump chanty.