Well, the Harry Fox Agency lists 40:

SMILE IN YOUR SLEEP
SPINNING WHEEL
ALI'S RAG
AWA' HAME
BOLD HEROES, THE
BONNIE SHIP THE DIAMOND
BROOMIELAW BREAKDOWN
BARON BRACKLEY
BONNIE MOORHEN
CARLOW
CHANGING WAYS
COME ROW ME O'ER
DIAMONDS IN THE ROUGH
FIDDICH SIDE
FOLLOW THE COAL
GALLAWA HILLS
GUESS WHO
HILLS AND THE DALES OF CALEDONIA, THE
I ONCE LOVED A LASSIE
LEAVING OF LIVERPOOL, THE
MY LOVE SHE'S BUT A LASSIE YET
NANCY WHISKY
PORT NA BEUL
ROWAN TREE
SCOTIA REEL
SCOTCH WHISKY
SHEPHERD LADS FAREWELL, THE
SMIDDYS LAMENT, THE
SO CHEERIO
SOLDIERS JOY
SWEET NIGHTINGALE
TALKING CONCHIE BLUES
TWO BONNIE MAIDENS
VERDANT BRAES
WHISKY CHORUS,THE
WAVERLY STEPS
WE'RE LEAVING GLASGOW CITY
WIND THAT SHOOK THE BARLEY, THE
YE JACOBITES BY NAME
YE'RE WELCOME HOME TAE ME

Some, no doubt, are arrangements of traditional songs. "The Bonnie Ship the Diamond" would fit into that catagory, I'll wager.
-Joe-