The tribute also revealed that her mum actually produced the film - which starred Emily Blunt and Rupert Friend.
"Today marks the 200th Anniversary of the birth of Queen Victoria (1819-1901). She reigned for almost 64 years and I'm very proud to be named after her," Eugenie began.
Fans were quick to express their surprise that the Duchess of York, who's affectionately known as 'Fergie', had produced the successful British period drama.
"I had no idea your wonderful mother produced this film. It’s one of my very favorites. She’s very gifted!," wrote one stunned fan.
Another Instagram user commented: "Oh I didn’t know your mum produced it! Very well done!"