Posting here is a very good first step.
Anyone out there who might have one of these ranges or some parts lying around might well be interested in helping out out.
That is definitely a 1940s model. I'm not at home right now so I can't look up the actual model number and year. That original style "radiantube" surface element was introduced in 1941 and phased out for the wide, flat 3-wire radiantube in 1949.
Hopefully I'll remember to look it up later this weekend.
Does the "well" (known as the "Thermizer") have the "Thrifto-matic" switch where the "High" heat setting is available only on a spring-wound timer portion of the control dial? I think this feature is so cool.
For those of you out there who want to know what this did:
The Deep-well cooker was in some ways the precurser of the "Crock pot" and allowed you to cook partial or whole meals at low temperatures in a semi-insulated aluminum pot.
The heat control had 4 (the early had only 3) heat settings and they were arranged in this order on the dial: OFF, MED HIGH, MED LOW, SIMMER, & HIGH.
HIGH, however, was not a notched stop but instead a 30-minute spring-wound timer. You would set the timer for how long you wanted the "Thermizer" to heat on HIGH and then it would automatically go to SIMMER.
Considering that these were low wattage elements to begin with (600 watts originaly, later increased to 635, and still later to around 1000 watts in the 50s) the SIMMER setting was around 125-150 watts which is about the same as LOW on a crock pot!