Every Pep Boys/Western Auto type catalog of this general period carried several greyhounds, almost always bolt-through ones like the one pictured rather than the integral type Ford used in '34. They came in all levels of quality, and there were even small ones to bolt to bicycle fenders.
Ford only had one available for '34, and other years are certainly aftermarket. Modern resto aftermarket made them integral with cap for several years of Fords that never had a Ford accessory offered. The '34 originals can be spotted by the free-standing tail, which is nearly always broken off!