We had a Kenmore washer of 1961-63 vintage. I don't think it was a Lady, but it may have been the next model down. Three cycles, infinite water level, and the five-temperature wash and three-temperature rinse temp selections. It had a tub light, which went through a lot of light bulbs. It had the waterfall cartridge filter, and one of my chores as a toddler was to clean the filter; I recall it being a PITA. It seemed to stay broken a lot too. One time the water recirc hose came detached at the top and it flooded the garage. I was trying to help my dad work on it by holding the top open while he worked on it; he did something and I got an electric shock. Not a good memory. The machine lasted until 1969. I don't recall what finally sent it to its doom, but I do recall that over the years it needed a new motor, a new timer, and a new valve of some sort (drain valve?). Also, the latch that held the filter in eventually broke, and after that, my mom just ran the machine without it. My mom has told me that they had a frog-eye Kenmore when I was born. I don't remember it, but I recall her saying once that she wished they'd kept that machine. (They gave it to my paternal grandmother, who used it well into the 1970s.) The '61 machine's replacement was a '69 Kenmore about which I remember little, other than that it had the can-of-marbles self-cleaning filter.
The dryer was the 1959 Lady with the rocker controls. It had no exterior vent; it just vented into the garage, and there was always lint blowing around. My recollection was that the controls never really worked right; my mom would put a load in, start it, and come back an hour later to find the clothes still wet because it had been running on air only. In 1965 or '66, my dad got tired of it and hacked the wiring so it just ran whenever the door was closed. My parents divorced in 1970 and my dad kept the dryer until 1973.