Lafayette put its label on a Goodman's 15" coaxial. It was a true coaxial-which is to say, an electrically and physically separate tweeter was mounted in the middle of the woofer. The Trebex tweeter, a compression driver with a heavy cast horn, was round in cross section, with an oval mouth. Goodmans sold these as a separate component virtually from the infancy of high fidelity. Marketed by Lafayette as a poor man's Tannoy or Altec 604, the Lafayette whatchamacallit was deluxe in every respect, with a massive Alnico magnet and a cast frame. And while it was not the equal of the Altec or Tannoy, it was not far off the mark.
I don't know what you have. But from your description of the whizzer, it sounds like one of Goodmans' many excellent extended-range drivers, a catagory that includes what many connoisseurs consider to the finest speaker of all time, the Axiom 80.
One of the first serious stereo systems I ever heard consisted of 4 Axiom 80s per channel flush-mounted in a wall, with an 18" Goodmans woofer mounted under a stair case. In today's market, those 8 Axiom 80s would probably be worth more than the house!