Charles -
Not sure the exact origin of the Limited Edition set, but the last belt-drive models issued for general sale were 1983 models. These appeared in the stores gradually in 1983 while some 1981 and 1982 models were still in mass production. No electronic models were included in the 1983 line, so the Limited Edition had to have been a 1982 or earlier model. There was an '82 electronic model, and the one previous to that was the 1980 Lady K with the woodgrain top, so I'm presuming this machine is an '82.
There were three 1984 Kenmore belt-drives, these were issued and produced beginning in 1983 also, however none were electronic, nor were they available for sales to the general public in stores. They were offered through Toyota as incentives. There was two 400 series machines, a 700, and a Lady Kenmore-esque model. I've seen then all except the Lady. These had different finish on the control panels which had lighter woodgrains, silver on the front panels instead of gold, and knobs were closer together.
I am pretty sure this machine is an '82. When/if we get the model number we'll know for sure.
Gordon