Here’s another photo from the August 30 1924 edition of the Toronto Daily Star.
Princess Alexandra Victoria of Schleswig-Holstein-Sonderburg-Glücksburg (1887-1957) married Prince August Wilhelm, her first cousin and the fourth son of Kaiser Wilhelm II of Germany, in 1908. The couple divorced in 1920 after the monarchy fell, as the Kaiser refused to allow them to divorce before that. The Prince’s Wikipedia page strongly hints that he was intimately involved with his personal adjutant; he later went on to become an admirer of Hitler.
In later life, the ex-Princess married and divorced again, and became a portrait and landscape painter. I could find no mention of starring in film productions.