I know this is old but if you go to www.repairclinic.com type in your model # and it will give you a list of parts for your model. It has 2 videos one for testing and the other on how to take the machine apart and fix it.
I also have a Maytag gas dryer. 1st load will dry, not the second until a bit later when it rests for awhile, I did replace the gas valve solenoid and the cycling thermostat but still not working. I looked in the peep hole when I turned it on for the second load of laundry and the igniter area glowed for a minute but never lit the pilot. I'm thinking it's the igniter.....any suggestions?