I was looking at my Grehan Sisters recordings last night, and I'm sure there is a name on the credits for this one. I'll check tonight.

As the Spinners have been mentioned, I assume we are talking about the song to the tune of Rising of the Moon/Wearing of the Green with a chorus that goes:

Oh it is the biggest mix-up that you have ever seen
My father he was Orange and my mother she was Green

and not one of the other Orange and Green songs