Tim,
I am going to go an guess that the washer and dryer are from approx. 58- early 60ish. If you go back to the model number tags you found on both units, you will see a serial number located on the tag as well. There will be two letters after a series of numbers - those letters tell the month and year the machine was produced. If you post the serial numbers, any number of us could tell you what month and year the machines were made.
I'm not surprised that you found the model tag on the gas door support brackets. The tag on Cory and I's '56 Gas Maytag (in pink also!) was behind the gas door too. I wasn't sure if they had moved it since our machine was a 1 year run only.
So go ahead and take some time to clean up the machines. Let us know what they do, or don't do, now. From there, we should be able to point you in the right direction.
Also, keep your eyes out for the Maytag Automatic Washer repair manual on ebay. It will be for the Helical Drive models, and will say it on the manual. I can also make copies and send pages to you as well. Let me know. Thanks!
Ben