Two entries in slang dictionaries. (Lighter must know these!) Perhaps notable (but not surprising) that "shanty" is being considered "slang" at this point.

1874[Dec. 1873]        Hotten, John Camden. _The Slang Dictionary._ New edition, revised. London: Chatto and Windus.

"Shanty" appears for the first time in this edition.

Pg. 284:

//
Shanty, a song. A term in use among sailors. From CHANTER.
//

1890        Barrere, Albert, and Charles G. Leland, ed. _A Dictionary of Slang, Jargon & Cant._ Vol. 2. The Ballantyne Press.


The entry includes a quotation from a newspaper. Pg. 224:

//
Shanty… (Nautical), a song.
It was a tough pull, as the shark was over fifteen feet in length, until the mate suggested a shanty, or sea-song, a corruption of the French word chanter, which a fo'cs'le Mario commenced, and the rest joined in vigorous chorus. So Carcharias vulgaris, as naturalists call the white shark, left his native element to the rousing strains of—

"Were you ever in Quebec, 
   
   Ho, la! ho, la! 

Hoisting timber on the deck! 
   
   Ho, la! ho, la! 

With a will now—Heave, oh!" 
   
   
—Detroit Free Press.

A contributor to a London journal declares that this is not a true sailor's word, but of literary origin, and only of late years.
//

I guess the example most resembles HIGHLAND LADDIE. And I presume they are referring to W. Clark Russell.