The search for parts and the plan to service the 1957 dryer:
So, I downloaded the parts list for the dryer from the ephemera section (It's a Kenmore Model 110~5108710 and the "heat element assembly" is part S-7040, while the "fixed thermostat assembly" is 229567. I worked with Colin at W L May Company in Vancouver, Washington, and he helped me find some modern equivalents as 229567 for the thermostat and 237750, 297393 and 299852 for the heat element from sellers on Ebay, but I'm not sure if they will fit or not. This will be my first time working on a dryer and my plan is to first shot vac out the exhaust vent as I was told that it might have caused the dryer to run hot and the thermostat to blow in the first place. Then, I plan to purchase a multimeter so that I can test for continuity with the thermostat and the heating element to try to troubleshoot what went wrong. Is this a good preliminary plan? Thank you!