Baloney, as sausage, comes from Bologna in the 16th century. The OED doubts any such link in the sense of foolishness, but Ramon Adams notes that such sausages are made from inferior bulls; and a hint of blarney is detected by Jonathan Lighter, whose first, 1920 citation (Variety) is a decade earlier than that in the OED, which overlooks meanings from the same era: automobile tyre and penis. A Casanova could, then, pun "My baloney's on a roll."
"AND TELL me what street / Compares with Mott Street / In July?/ We'll go to Coney / And eat baloney / On a roll." Even more extraordinary than a producer's telling Rodgers and Hart that their musical Winkle Town contained nothing memorable is Hart's being absent from the OED.