That is most definitely a 1964 Model 70 Kenmore set. It is hard to see them, but from the few console features I am able to view, that must be what they are. The Model 600s would be my second guess, except (and I could be wrong about this) I believe that in 1964 as well as 1965 the 600 models offered were continuations of the 1963 600 series. The consoles on them look almost identical to those of the 1963 Model 70, and consoles of both models look noticeably different from the set pictured here. The flat handle on the dryer is also an indicator of their vintage. The last year that the flat handle appeared was on MOL to BOL models in the 1965 lineup. This would include the 1965 Model 70, but that console had different coloring than the ones of this set; ruling it out as a possibility.
Gordon it does look like the 64 70 that you have in your storage unit. There was a set like this featured in the movie "The Birdcage" with Robin Williams. I hope somebody grabs them.
Have a good one,
James
