Princess Marie Amelie of Baden (Marie Amelie Elisabeth Caroline; 11 October 1817 – 17 October 1888) was the youngest daughter of Charles, Grand Duke of Baden and Stéphanie de Beauharnais. In 1843, she married the Scottish noblemanWilliam Hamilton, Marquess of Douglas and Clydesdale. They became the Duke and Duchess of Hamilton upon the death of William’s father in 1852. Their only daughter Mary married the future Albert I, Prince of Monaco and was the mother of Louis II.
Princess Marie Amelie was a cousin of Napoleon III of France, as well as a friend of his and his wife’s, Empress Eugénie. She often accompanied the couple at official events, and provided them lodging when they visited her outside France.
Princess Marie Amelie was born in Karlsruhe, the youngest daughter of Charles, Grand Duke of Baden, and his wife Stéphanie de Beauharnais, the adopted daughter of Napoleon I of France. Charles’s daughters married into several great European ruling families. Marie Amelie’s older sister Princess Louise married the Swedish prince Gustav, Prince of Vasa, and her other sister Princess Josephine married Karl Anton, Prince of Hohenzollern. Louise was the mother of Queen Carola of Saxony, while Josephine was the mother of Carol I of Romania and Queen Stephanie of Portugal.
On 23 February 1843, she married the Scottish noblemanWilliam Hamilton, Marquess of Douglas and Clydesdale, the only son of the 10th Duke of Hamilton. The couple had two sons and one daughter: William (later 12th Duke of Hamilton), Charles (later 7th Earl of Selkirk and Lieutenant of 11th Hussars), and Lady Mary Victoria (later wed to Albert I, Prince of Monaco in 1869). 
After her wedding, she relocated to Brodick Castle on the Isle of Arran, which was built in her honour in the Bavarian style. She then moved later on Hamilton Palace in Lanarkshire, Scotland. Her husband succeeded as Duke of Hamilton upon the death of her father-in-law in 1852. The Duke at least mainly lived in Baden-Baden and Paris after his marriage.