I think this would be a Roper... a very unusual one, I had not seen other Kenmores like it. Rather than the 7 pushbuttons, it has dials for the burner controls. But things like the griddle and lid are clearly the same as on my earlier model Roper-built Kenmore.
It does need work, so we were able to negotiate a price to reflect that... most unfortunately, at some time the right hand portion of the control panel was (small) brush painted black. I found this advertisement that shows that it must have been clear aluminum. In addition to (presumably) the switch that is not working, the roaster oven is missing its upper heating element. And of course the general aging issues from a well-used, although probably fairly well cared for, stove that is 54 years old!
Thanks Andrew for the offer... since I am rather a novice (ok, I am not mechanically inclined, lol) at repairs, I was hoping that John combo52 may help diagnose it next time I see him... but once I know the parts that I need I will most definitely take you up on your offer, I very much appreciate it!!! Interestingly, I did an internet search last night, just putting in the model number, and SearsPartsDirect came up with a basic parts diagram... they even show the oven control switch as available in an updated part number, but it appears to be for the gas version of the range. Plus assuming that it is the part, I would rather have an 'original' replacement part! But I was really surprised that Sears still had the model in their on-line catalog! It is Model 101-939590.
And I will take a sub door photo for you... I may have already posted one in the oven interiors thread, I had showed a photo of the brown Kenmore oven interior, with the sub door. Basically, there is a small latch/knob just under the door handle; push that latch, and it decouples a magnet so that when you open the oven door, the glass door underneath stays in place and you can see your meal cooking without letting the heat out.
