Your car sounds like a SAMCO Cord, a later relative of the Glenn Pray Cord 8/10 which was Corvair powered. Glenn Pray did the first replica Cord in the early 1960's with hideaway headlights. I will bet yours has exposed headlamps. After Pray went belly-up, others continued on. The Pray cars have a more faithful body than the Samco cars. I don't think they had any affiliation with Chrysler whatsoever.
Go here and you will learn lots more...
Auburn Cord Duesenberg 2nd Gen & Replica Forum Glenn Pray Cord GroupHere's one with a 440 for sale:
Samco Cord For Sale 
