I believe that the song, as now sung, was introduced into the revival through its appearance on the Caedmon album, "Sailormen and Serving Maids" (1961), as sung by John and Ethel Findlater of Dounby, Orkney.

The Findlaters were recorded in 1955 by Peter Kennedy.

And here they are:

https://sounds.bl.uk/World-and-traditional-music/Peter-Kennedy-Collection/025M-MSMUS1771X1X-0412V0