updated 10/28/2011 AT 4:00 PM ET
•originally published 11/01/2011 AT 6:00 PM ET
What happened when Queen Elizabeth met Marilyn Monroe?
Even the Queen herself is interested in seeing that moment played out on the big screen: She plans to host a showing at the palace of the upcoming film My Week With Marilyn, starring Michelle Williams, a source tells PEOPLE.
In the film, Williams channels the sultry star, portraying Monroe as she was during a brief period in the summer of 1956, when the actress was in the U.K. filming The Prince and the Showgirl. It was during that time that Monroe met the Queen.
The Weinstein Company, which produced the film but would not confirm the Queen’s screening, received rare permission to film inside Windsor Castle – not surprising considering the Queen reacted favorably to another of their movies, the Oscar-winning The King’s Speech.