1932        Hutchison, Percy. "Walking the Capstan 'Round." The New York Times (20 March 1932).

Hutchison (born 1875) reviews David Bone's collection. In the course, he offers this anecdote.

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The present writer recalls the time when he first heard a capstan chanty. He was in the roadstead of Bridgetown, Barbados, and a short distance
away lay an English brig that was getting up anchor, the crew aided by a gang from the shore that made a business of such assistance for vessels carrying few hands. Since the ship the writer was aboard, a four-masted barkentine, had a donkey-engine forward, the anchor was never handled by sailors walking the capstan 'round; and although he had for weeks listened to halyard and close-haul chanties, had himself swung on the ropes in unison with others, he was unfamiliar with the marching rhythms with which stolid men lightened their weary rounds of the fo'c's'l head. Hence a reader can imagine his pleasure when he caught the wistful strains of "Shenandoah" drifting across the water from the deck of the brig.
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He wrote an article on chanties in 1906, so I'd guess this incident was before then.