Engines and transmissions were installed as an assembly at the factory.
1967 S code engines had tag codes of 322 for manual transmissions and 319 with automatic.
The installation dates probably won't line up between transmission or factory too closely.
The 3 speed M/T S codes installation dates are probably pretty skewed.
Have worked in manufacturing for over 25 years, first in first out isn't strictly adhered too. Quality control might have been job one at Ford in 1967, but maybe not.