Plymouth (and other car manufacturers) used the name long before Chevy and GMC did. The General did not even trademark the name until after it became the only manufacturer to continue using the name, and then, not until 1988! "Suburban" was considered a station wagon body style by manufacturers, like "sedan" and "coupe", and became part of the name of several different cars and wagons over the years. Plymouth didn't "steal" the Suburban name at all. In fact, it was used on their wagons all the way through 1978! Dodge predated GMC/Chevy in its' usage.
Check the linky, scroll down about 2/3 down the page...