I still like this one.
It's cute and catchy.
Come,
Come,
Come be a Sigma, Sigma Kappa
Come be a Sigma Kappa Girl
We are Sigma, Sigma Kappas
We wear Sigma Kappa Pearls
Mystic Bond,
That binds a Sigma,
Friendship true,
We offer you, you, you
So,
Come be a Sigma, Sigma Kappa
Come be a Sigma Kappa Girl
We are Sigma, Sigma Kappas
We wear Sigma Kappa Pearls