Updated, on-going list (of course, reflecting my opinion only):

Mudder Dinah/Sing Sally, O! (A)
Mudder Dinah (B)
Shinbone Al / Sister Susan / Gwine to git Home
Round the Corner Sally
Walkalong, Miss Susiana Brown
Coal Black Rose"
Come Down, You Bunch of Roses
Bully in the Alley
Lowlands Low ("Island Lass")
Miss Lucy Long
Stormalong, Lads, Stormy / Wo Stormalong
Mister Stormalong / Stormalong
Way Stormalong John
Stormy Along, John / Come Along, Git Along
Walk Me Along, Johnny / Walk Him Along John / General Taylor
Yankee John, Stormalong
Gimme de Banjo
The Gal with the Blue Dress
Johnny, Come Down the Backstay /John Dameray / John Damaray
Mobile Bay / John Come Tell Us as We Haul Away
Miss Lucy Loo
Tommy's On the Tops'l Yard
Hilo Johnny Brown / Stand to Your Ground
Hilo, Boys, Hilo
Tommy's Gone Away
Hello, Somebody
Huckleberry Hunting
Can't Ye Hilo
Hooker John
John Kanaka
Heave Away, Boys, Heave Away (A)
Heave Away, Boys, Heave Away (B)
Dan Dan
Hilonday
Roller Bowler
Good Morning Ladies All (A)