A young Lynch called into a radio station in her native Chicago, Illinois to chat to Williams and co-star Ron Howard when they were promoting her favourite show - and she asked them for advice on making it as an actor.
Howard suggested she join school drama groups and head out to Hollywood when she was older, while Williams had a more business-savvy option.
The actress recalls, "He said, 'You go down to the Screen Actors Guild and you get the name of all the agents in the country and write them all letters and hopefully someone will sign you,' which is the stupidest thing to tell a 13 year old.
"But I did it, I sent tons of letters... and I gave them all my school picture... and I got one reply from Universal Studios - from a casting director's assistant... She wrote me this horrible letter about, y'know, 'You're not a professional, we're not interested in young people...' I was over the moon about it... I was really excited about it, it was a great day.
"No one was gonna burst my bubble at that point."