Red Herring uses the tune Scotch Polka, because that's the one that Orange Peer Morris uses, and we learned the dance from them: 

X:1
T:Scotch Polka
T:(Tinner's Rabbits)
C:traditional
M:4/4
L:1/8
K:G major
V:1 clef=treble
P:A
Bc |: d2 G2 G2 AB | c2 E2 E2 G2 |1 FGAB c2 A2 | e2 d2 d2 Bc :|2 \
FGAB c2 F2 | A2 G2 G2 Bc ||
P:B
d2 g2 g2 fg | f2 e2 e2 AB | c2 c2 c2 A2 | e2 d2 d2 Bc | 
d2 g2 g2 fg | f2 e2 e2 G2 | FGAB c2 F2 | A2 G2 G2 |]

The Ladies of the Rolling Pin use the tune Strike the Bell: 

X:2
T:Strike The Bell
C:traditional
N:by ear, APBW
I:abc2nwc
M:12/8
L:1/8
K:G
P:A
B3B2A G3B2d|g3g2f e6|d3d2e d3B2G|A3A2B A6|
B3B2A G3B2d|g3g2f e3f2g|a2g f2e d2c B2A|G3g3 g6||
P:B
a3a2g f2g a3|g3b3 g6|e3e2f g2f g2e|d2e d2B A6|
B3B2A G3B2d|g3g2f e3f2g|a2g f2e d2c B2A|G3g3 g6|]

There are many other tunes used by other sides, including Uncle Bernard's Polka and Winster Gallop.