Question: Who is the maternal grandmother of Duchess Amalie In Bavaria?

Knowledge 1: Duchess Amalie in Bavaria
Duchess "Amalie" Maria in Bavaria(Full German name: "Amalie Maria, Herzogin in Bayern") (24 December 1865 – 26 May 1912) was born in Munich, Kingdom of Bavaria, the only child of Duke Karl-Theodor in Bavaria and his first wife Princess Sophie of Saxony.Amalie was a member of the House of Wittelsbach and a Duchess in Bavaria by birth.She was a member of the House of Württemberg, Duchess of Urach and Countess of Württemberg through her marriage to Wilhelm, 2nd Duke of Urach.She was called by the French version of her name, Amélie, and was lifelong friends with her cousin, Archduchess Marie Valerie of Austria. [SEP] Knowledge 2: Princess Sophie of Saxony
Princess "Sophie" Maria Friederike Auguste Leopoldine Alexandrine Ernestine Albertine Elisabeth of Saxony, Duchess of Saxony (Full German name: "Prinzessin Sophie Maria Friederike Auguste Leopoldine Alexandrine Ernestine Albertine Elisabeth von Sachsen, Herzogin zu Sachsen") (15 March 1845, Dresden, Kingdom of Saxony – 9 March 1867, Munich, Kingdom of Bavaria) was the eighth and youngest child of John of Saxony and his wife Amalie Auguste of Bavaria and a younger sister of Albert of Saxony and George of Saxony.Through her marriage to Duke Karl-Theodor in Bavaria, Sophie was a member of the House of Wittelsbach and a Duchess in Bavaria.
Knowledge 1: Duchess Amalie in Bavaria
Duchess "Amalie" Maria in Bavaria(Full German name: "Amalie Maria, Herzogin in Bayern") (24 December 1865 – 26 May 1912) was born in Munich, Kingdom of Bavaria, the only child of Duke Karl-Theodor in Bavaria and his first wife Princess Sophie of Saxony.Amalie was a member of the House of Wittelsbach and a Duchess in Bavaria by birth.She was a member of the House of Württemberg, Duchess of Urach and Countess of Württemberg through her marriage to Wilhelm, 2nd Duke of Urach.She was called by the French version of her name, Amélie, and was lifelong friends with her cousin, Archduchess Marie Valerie of Austria. [SEP] Knowledge 2: Kaoru Hatoyama
After the elections of 2009, she became more widely known as the grandmother of Prime Minister Yukio Hatoyama and his politician brother Kunio Hatoyama.
Knowledge 1: Duchess Amalie in Bavaria
Duchess "Amalie" Maria in Bavaria(Full German name: "Amalie Maria, Herzogin in Bayern") (24 December 1865 – 26 May 1912) was born in Munich, Kingdom of Bavaria, the only child of Duke Karl-Theodor in Bavaria and his first wife Princess Sophie of Saxony.Amalie was a member of the House of Wittelsbach and a Duchess in Bavaria by birth.She was a member of the House of Württemberg, Duchess of Urach and Countess of Württemberg through her marriage to Wilhelm, 2nd Duke of Urach.She was called by the French version of her name, Amélie, and was lifelong friends with her cousin, Archduchess Marie Valerie of Austria. [SEP] Knowledge 2: Diana Guardato
Diana Guardato was a member of the aristocratic Patrician Guardato family, and had three children with King Ferdinand I: Diana Guardato is the 16th- Great Grandmother of His Royal Highness Albert II of Belgium, 15th- Great Grandmother of His Majesty Juan CarlosI of Spain, 17th- Great Grandmother of Philippe of Belgium, 14th- Great Grandmother of His Majesty Manuel II of Portugal, 16th- Great Grandmother of Grand Duke Henri, as well as many others.

Answer: Amalie Auguste of Bavaria