That was the machine my mom had!!
I am crushed! I thought it was a Lady, but now that I think about it, it didn't say Lady Kenmore anywhere on the machine. She had the matching washer and dryer in white. The dryer was the standard lint filter (not the bag) It was deluxe in that it had the lighted panel. Two buttons on each side of the panel opened the top to give access to the light. It was a suds-saver model as well. The slide switch on the lower left-hand side of the washer was the water-level adjustment. Indeed, the cycles were selected by letter on the dial as indicated on the panel A-K (whites - hot water, colored - warm water, wash and wear, etc.) It was the squared off cabinet.
Her first Kenmore automatic was a frog-eye which must have been about 1954-55 after I stuck my hand in her wringer washer at the tender age of 2-3 and my brother broke it open to let me loose. I can't believe that the frog eye only lasted about 5-6 years, although there were 7 in the family altogether. No dryer, in inclement weather, clothes were hung in the basement. The frog-eye was a suds-saver as well. I have been checking out the Sears catalogs to find out what year it was.