Well then:

Kelligrew's Soiree
The Ryans & The Pittmans (We'll Rant & We'll Roar)
Squid-jiggin' Ground
The Old Polina
Aunt Martha's Sheep
Sweet Forget-Me-Not
The Badger Drive
Get Your Duds in Order
Old Brown's Daughter
Feller From Fortune (Bonavist Harbour)
I's de B'y
Tiny Red Light (not a favourite of mine, but very popular)
Sonny's Dream (!)
Jack Was Every Inch a Sailor
Take Me Back to Cape St. Mary's

Well, there's a start off the top o' me noggin. I loiks'm all. A few not in the public domain: Tiny Red Light?, Sonny's Dream, Aunt Martha's Sheep?, Cape St. Mary's? I'd check those ones.