OK, I remember those!
What a classic pair!
How old were you in 1957, 1958, & 1959? (My high school years!)
I think that's about a 1958 Plymouth Fury Convertible with some modifications to the sides and fin size.
(Checked out '57-59 Plymouth, Dodge, DeSoto, Chrysler, and Imperial, but no perfect match, :cigar and no, it's not a '57 Cad, either! :smiled
Here in Redding, we still see an occasional "finish" fiberglass runabout from the late 50's era in someone's backyard. Would be a fun restoration project, and simpler than a car from the same era (maybe).
Paint it pink, turquoise green, or lavender. You did want to attract attention, didn't you?
Get a load (pile) of these!
Atomic Runabouts
Side Note: Where did those intervening 55 years go ???
Oh, and you can leave the room if you can't remember DeSotos, Groucho Marx, his cigars :cigar , George Finneman (there's that Fin, again!), the Secret Word, the Bird, and You Bet Your Life.
Joe. :teeth :thup