You could have inadvertently found an issue with your neighbor's home wiring that is similar to your home's wiring issues. Consider that both homes are the same age, probably built by the same builder who used the same electrical contractor that installed the same electrical components. The clothes dryer may work without issue because it runs for a relatively short period, usually no more than 80 or 90 minutes, has a thermostat that controls the flow of power to the heating element in the dryer.
I don't know the regulations as far as pulling the meter. The utility company might have to be notified when this work is being done, completed.