Crystal Gayle

From Muppet Wiki

Crystal Gayle (b. 1951) is a country-pop singer. She was the guest star on episode 402 of The Muppet Show. She also sang "Songs" with Big Bird on the 1981 album Sesame Country.

Gayle's signature hit is "Don't it Make My Brown Eyes Blue."

Her older sister Loretta Lynn was also a Muppet Show guest.