That Announcer said:
Jerry's daughter had cystic fibrosis. This is why Richard Hunt did Statler, and why Jerry had a much reduced role in the first season- he had to spend time with his daughter.
BEAR Presents...
THE STORY BEHIND THE CAMEO!
Apparently, Jerry Nelson's daughter had always dreamed of being a movie star. So, to grant her wish, Jim Henson gave her a cameo appearance with her father in The Great Muppet Caper. She didn't live to see the finished film.
This has been brought to you by Bear...straight from his Big Blue House!