First recorded by Eddy Arnold (C&W #10 1956).
First released by Jerry Vale (US #14 1956).
Other hit versions by Ray Charles (US #2/MOR #1/R&B #5/UK #9 1962), Mickey Gilley (C&W #1 1981).
From the wiki: “‘You Don’t Know Me’ is a song written by Cindy Walker based on a title and storyline given to her by Eddy Arnold in 1955 and was first recorded by Arnold (who is credited as co-writer) that year, then released by him as a single in September 1956.
“However, the first recording of the song to make the Billboard charts was Jerry Vale’s single release in July 1956, peaking at #14 on the Billboard Hot 100. THat was followed by Arnold’s version, charting two months later, backed with ‘The Rockin’ Mockin’ Bird’. Arnold’s recording reached #10 on the Billboard Country chart.