Someone please correct me if I am wrong, but I do not believe Ford offered a power steering gearbox (like the Lincoln power steering) until later years.
I believe what you have in the '62 is a power steering "assist" with an outboard control valve and ram cylinder mounted on the tie-rod. In these "assist" type systems, the gearbox is actually the identical gearbox used on the standard steering systems and they simply use 90 weight gear oil.
1952 Lincoln Cosmopolitan and Capri models in later years had a true power steering system which incorporated a gearbox with integral control valve. In the mid to late 1960's Ford and Mopar adapted to a similar system.