Elvis and Marilyn Monroe spent one passionate night together in a hotel, according to the only other person who was there - who described what happened in tantalising detail.
It's an extraordinary thought - the two biggest icons and sx symbols of their times (and ever since, in many opinions) coming together for one passionate night. We know they definitely met on set at Paramount Studios in June 1960, but what exactly happened after that? Only one man claimed to know - publicity and management agent Byron Raphael – who said he set up the secret liason and witnessed the two most famous people on the planet walk out of the bedroom naked afterwards.
Elvis had just returned from doing military service in Germany and was back in Hollywood working on his next movie, GI Blues. While overseas he had met and fallen for 14-year-old Priscilla Beaulieu but fidelity was never the superstar's strong suit. He was also officially dating 22-year-old starlet Anita Wood at the same time.
The King was even visited by the actual princesses Margrethe of Denmark, Astrid of Norway, and Margaretha of Sweden on set that summer, but it was a alleged encounter with the reigning queen of the silver screen that remains speculated about to this day.
According to junior agent Byron Raphael, it all started when Elvis' representatives at the William Morris Agency were keen to send him and Marilyn on some high-profile public dates for publicity – but she said no.
Byron said that he had kept the details secret for fifty years, but finally told Playboy and then the New York Post all the details in 2006.
The agent said: "He was very embarrassed but I think she turned him down because she felt it was too public, but Presley didn't give up and secretly set up a meeting.
"Two weeks later, Elvis called me and said 'I want you to pick up Marilyn.' It was a rainy night and I brought her to the Beverly Wilshire hotel and we went upstairs to his room.
"When he saw her, they came together and, without a word, started kissing. I was in shock and didn't know what to do."
Byron added: "Then Marilyn, who was ten years older, said, 'You're pretty good for a guitar player.' After two minutes they went into the bedroom and I didn't know if I was supposed to leave, or stay and wait for them, so I sort of just dozed off."
"The next thing I knew I was startled awake by the door opening and I dove behind the bar. And they both walked out stark naked. I didn't say a word, I just stayed quietly."
The agent claimed that when it was all over, Elvis called a cab for Marilyn.
He added: "A few days later when I mentioned Marilyn to Elvis, he said, 'She's a nice gal, but a little tall for me'."
It is all impressively detailed, but can it possibly be true?
It has been pointed out that it wasn't just Marilyn's height that would have put Elvis off. He infamously preferred younger women and, indeed, teenagers like Priscilla. He was also drawn to more demure, virginal types. Marilyn was 34 at the time and exuded s-xual allure.
However, it is also true that those preferences were for those girls he might have been considering dating and then marrying. He was certainly very attracted to the s-xually confident and challenging Ann-Margret, with whom Elvis had a long affair after starring together in Viva Las Vegas.
Marilyn, conversely, was drawn to older, powerful men, like Miller (11 years her senior), President John F Kennedy, and her second husband, baseball star Joe DiMaggio who was 40 to her 28 when they married.
Everyone in Elvis' inner circle has also always denied that any such liaison happened. The only official description of a meeting between the two icons came from Memphis Mafia member Joe Esposito who confirmed they met very briefly in the June of 1960.