The Steve Allen Show

From Muppet Wiki

The Steve Allen Show was a popular Sunday-night variety show that aired from 1956 to 1960, hosted by Steve Allen.

Jim and Jane Henson appeared as guests on The Steve Allen Show on November 4, 1956 with a performance of "I've Grown Accustomed to Your Face."

They returned on April 21, 1957 to perform Stan Freberg's version of "The Yellow Rose of Texas".