At Southern Cal in the mid 1970's (were any of y'all born then?!), we sang a similar version of your song Mary!
You take the legs of Brigitte Bardot
You take the sex of ol' Mae West
You take the face of Elke Sommer
And from Sophia take the chest
(We need the chest!)
And then you put them all together
It's neither Theta nor Pi Phi
You get more lovin' in this whole wide world
From a perfect Gamma Phi girl
(We really Mean it!)
And incidentally I'm a Gamma Phi too
Bah doo bah doo!