There were a few sub-models of Paramount in 1968 (as there were most years). Do you know what sub-model it is? Or is all you know just the frameset? As always, details, please. And doubly so (especially if you are unsure of sub-models): pictures.

Paramounts came in Track, Deluxe, Tourist, Tandem, and Road Racer.

Catalogs don't get specific during these years, but they were 27" wheel bikes. Generally, they sported components sourced from all over. Campagnolo here, Weinmann there, Schwinn-Approved over there, etc. What are your plans for the bike, component-wise? Original as possible build? Matching groupset? Strategic modernizing while keeping the original spirit of the thing?