The "National Song Book" vol.1 Edited and arranged for use in schools by Charles Villiers Stanford (copyright 1906) was one of the books I used regularly from junior school days (C 1962).
That version has the "Jolly Tars" refrain, and would have been a popular source book throughout the country (UK).
That source also confirms the words as by David Garrick, and music by Dr. Boyce

Nigel