They were held down by springs. Tight coiled springs (2) in either an "X", or in parallel to keep them strapped to the floor board. That's the only way I've ever seen them.
In fact my '64 has them too!

HTH
Chris
EDIT: OH wait. I just remembered. I've also seen a canvas apron across the back of the bench seat with pockets for everything. RPO? dunno.
