There are two different design oil pumps for the Y family of engines. The original design introduced in the early Fifties on the OHV/LYB engines (302, 317, 332, 341, 368) and adopted in 1954 for the 239/256 Y engines was the spur gear oil pump. In mid 1956, Ford introduced the gerotor design and that design has been used on the various Ford engines since then. For the Y, the aftermarket manufacturers have continued to make the spur gear design for the Y despite the inherit advantages of the gerotor design. Here are some links to past threads regarding the Y-Block oil pumps in general.
Blueprint specifications
Design differences
Effect on the ignition
Identifying Gerotor and spur gear pumps
Preoiling the engine
Rebuild kit for gerotor oil pump
Shimming the relief spring