Here's a sketch of the "most common" chanties of the 60s-70s-80s, from my charts...with the rationale being that most of Carpenter's singers would have been learning shanties in that era.

WHISKEY JOHNNY (25)

SHENANDOAH (22), REUBEN RANZO (22)

BONEY (21), BLOW THE MAN DOWN (21)

HEAVE AWAY MY JOHNNIES (20)

RIO GRANDE (19), GOODBYE FARE YOU WELL (19)

HAUL AWAY JOE (18)

SANTIANA (17)

JOHNNY BOWKER (15), BOWLINE (15), BLOW BOYS BLOW (15)

SALLY BROWN (14)

SACRAMENTO (12)

TOMMY'S GONE (10), MR. STORMALONG (10), BLACKBALL LINE (10)

DEAD HORSE (9)

PADDY ON THE RAILWAY (8), PADDY DOYLE (8)

As compared with this list, notably absent from the "top" shanties among Carpenter's singers are GOODBYE FARE YOU WELL and BLACKBALL LINE. As compared with this list, notably PRESENT in Carpenter's set are ALL FOR ME GROG, LONG TIME AGO, JAMBOREE, and HIGHLAND. The last *might* be explained by Carpenter's emphasis on Scottish locales (?). LONG TIME AGO is supposed to have been more popular in later days, i.e. 1890s, which is why it might not be in my list.