From the 1952 movie "High Noon" - theme song "Do Not Forsake Me Oh My Darling" - cover by Frankie Laine

Do Not Forsake Me Oh My Darling - from the 1952 movie High Noon starring Gary Cooper and Grace Kelly. Gary Cooper won the academy award for best actor. The woman who played along side Grace Kelly was Katy Jurado, real life wife of Ernest Borgnine who three years later was to win the academy award for best actor for his role in "Marty".

https://www.youtube.com/watch?v=A4a_1UhwgFU

I just want to make clear that it was Tex Ritter, John Ritter's dad, who sang the theme song for the movie "High Noon".