The Carpenter Collection contains some 98 different chanty-forms, by my tally. Here they are, followed by the numbers of time a variant of each occurs.

A ROVING (6)
ACROSS THE WESTERN OCEAN (2)
ALL FOR ME GROG (8)
Billibirumpidoodlupiday" ("Oh goin down the river…")
BLOW BOYS BLOW (17)
Blow high, blow low"
BLOW THE MAN DOWN (26)
BLOW YE WINDS
BONEY (8)
BOTTLE O
BOWLINE (9)
BULLY IN ALLEY (2) [remove one]
Captain row me ashore"
CHEERLY (3)
CHURCH CHAPEL
Dance Callidio"
DEAD HORSE (8) + DEAD HORSE?
Down in the Meadows" ("As I was a walking down the street")
Down in those Valleys" ("Aye, aye, aye, Bendigo")
DOWN TRINIDAD
DRUNKEN SAILOR (5)
Fire away Lily, come down below"
FIRE DOWN BELOW (5)
FIRE FIRE FIRE
FISHES + FISHES? (2)
GALS OF DUBLIN TOWN (2)
Go down below, you pretty girls, go down below"
GOODBYE FARE YOU WELL (5)
HANDY MY BOYS (3)
HANGING JOHNNY (5)
HAUL AWAY JOE (14)
Haul away Rosie. Rosie haul"
HEAVE AWAY MY JOHNNIES (10)
Here we come home in a leaky ship"
HIGHLAND (13)
HILO BOYS
HOGEYE (4)
HOOKER JOHN (2) [remove one]
How can I row the boat ashore without a paddle or an oar"
HUCKLEBERRY HUNTING (6)
Humble-lee and a humble-lo"
HUNDRED YEARS (6)
I saw an elephant chase a flea"
In the Morning" ("I went down the river in an old steamboat")
IRISH EMIGRANT ("Lay me down") (2)
JAMBOREE (7)
John Surran was a little old man"
JOHNNY BOWKER (7)
JOHNNY COME DOWN TO HILO (2) + JOHNNY COME DOWN TO HILO?
John's a rookey ookey"
Juber mind the bee, and mind it while I sing"
Kizee, Makazee, yah"
LEAVE HER JOHNNY (6)
LONDON JULIE (2)
LONG TIME AGO (11)
LOWLANDS AWAY (2)
LUCIANNA (3) + LUCIANNA?
Mind how you swing your tail"
MR. STORMALONG (3) + MR. STORMALONG? (4)
MUDDER DINAH + MUDDER DINAH?
NEW YORK GIRLS (4)
Nothin' but a humbug"
On a Visit Sunday" ("When first in London I arrived…")
Once I had a good hat, an a good hat was he"
ONE MORE DAY (5)
OUTWARD AND HOMEWARD BOUND
PADDY DOYLE (6)
PADDY LAY BACK (5)
PADDY ON THE RAILWAY (4)
Poor little Liza, don't say so"
Pull down below" ("Johnny come down to Hilo…")
RANZO RAY + RANZO RAY? (2)
REUBEN RANZO (14) + REUBEN RANZO?
RIO GRANDE (10)
RISE HER UP ("Hoist her up from down below" )
ROLL BULLIES ROLL (2)
ROLL THE COTTON DOWN (7)
ROLL THE OLD CHARIOT ALONG (2)
ROLLING HOME (3)
ROSABELLA (2)
RUN LET THE BULGINE (5)
SACRAMENTO (7)
SALLY BROWN (14)
SALLY RACKET? ("Old mamie Hackett")
SALT HORSE RHYME? (2)
SANTIANA (13)
SHALLOW BROWN (4)
SHENANDOAH (6)
SOUTH AUSTRALIA (2)
TALLY
TEN STONE
TOMMY'S GONE (8)
VICTORIO (4)
Walk along you Saucy Anna"
We're the Boys to Drive Her Right"
Were you ever in Fairy [?]"
WHISKEY JOHNNY (17)
White Man Thinks that a Nigger Can't Steal"