Sadly, I don't think so. They initally gave the families the names of their family members and in the first two seasons most of Shelly's behaviour is actually based on what Trey's sister did to him.

But during those seasons the parents where mostly thought of as background characters. When they expanded the roles of the parents in the show, they didn't really base their character on their parents anymore. Like Matt's mom never went rouge like in the movie. And when Randy becaome a main character he pretty much only shared Trey's Dad's name, not much more.