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Not a C1 or C2 piece, because it doesn't have a tach drive.
Tach drive distributors did not arrive until the advent of the 327, model year 1962. From '53 through '61, the tach was driven by the generator. That's just a side note, though, as John has already identified the item as never having been used on any Corvette.
I would venture to say that the housing is the same as the Corvette. It is just the band and the weights that would be different (not sure about the weights) than the one used in the vette. Change these out and I believe no one could tell that it was not originally a vette distributor.
Designer Imagines A Corvette That Looks More Like a Corvette Than the Corvette
Slideshow: A Jaguar designer's personal project imagines what a modern front-engined Corvette might look like if Chevrolet revisited the golden age of the Stingray.