You know what! It was Homer and Jethro! I grew up with C&W music playing all the time - my parents were into that genre (I liked the Beatles) . . . but That’s Good, That’s Bad stuck.
Oh, Homer and Jethro took on the Beatles as well...
https://www.youtube.com/watch?v=laMoNw2Uat4
I Want To Hold Your Hand/She Loves You