"Carl and I fell in love when I was 18 and he was 23, and like all great love stories, they never end. They live in memory and in song, and I dedicate this song to him", she writes in the post.
The song, "If you hadn't been there", is released on Friday, just four days after Dolly Parton announced that Carl Dean is dead.
The couple was married for 60 years.
Carl Dean was 82 years old.