Originally recorded by Arthur Alexander (1972).
Hit version by Elvis Presley (US #2 1972).
From the wiki: “‘Burning Love’ is a song written by Dennis Linde and originally recorded by Country Soul artist Arthur Alexander, who included it on his 1972 self-titled album. It was soon covered and brought to fame by Elvis Presley, becoming his biggest hit single in the United States since ‘Suspicious Minds’ in 1969 and his last Top 10 hit in the American Hot 100 or pop charts. ‘Burning Love’ was kept from becoming #1 by Chuck Berry’s novelty song ‘My Ding-a-Ling‘.
“Incidentally, Alexander has the distinction of being the only songwriter whose work has been recorded by The Beatles (‘Anna (Go to Him)’), The Rolling Stones (‘You Better Move On‘), and Bob Dylan (‘Sally Sue Brown’).”
Elvis Presley, “Burning Love” (1972):