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.
Claude of France
Claude of France (13 October 1499 – 20 July 1524) was a queen consort of France by marriage to Francis I.
She was also ruling Duchess of Brittany from 1514.
She was a daughter of the French king Louis XII of France and Anne of Brittany.
Charles II de Valois, Duke of Orléans
Charles II of Orléans (22 January 1522 – 9 September 1545) was the third son of Francis I and Claude of France.
Tjuyu
Tjuyu( sometimes transliterated as Thuya or Thuyu) was an Egyptian noblewoman and the mother of queen Tiye, and the wife of Yuya.
She is the grandmother of Akhenaten, and great grandmother of Tutankhamun.
Hubba bint Hulail
Hubba bint Hulail was the grandmother of Hashim ibn' Abd Manaf, thus the great- great- great- grandmother of the Islamic" Nabī"( Prophet) Muhammad ibn Abdullah.
Louis XII of France
Louis XII (27 June 1462 – 1 January 1515) was King of France from 1498 to 1515 and King of Naples from 1501 to 1504.
The son of Charles, Duke of Orléans, and Maria of Cleves, he succeeded his cousin Charles VIII, who died without a closer heir in 1498.
Before his accession to the throne of France, he was known as Louis of Orléans and was compelled to be married to his disabled and supposedly sterile cousin Joan by his second cousin, King Louis XI.
By doing so, Louis XI hoped to extinguish the Orléans cadet branch of the House of Valois.
Louis of Orléans was one of the great feudal lords who opposed the French monarchy in the conflict known as the Mad War.
At the royal victory in the Battle of Saint-Aubin-du-Cormier in 1488, Louis was captured, but Charles VIII pardoned him and released him.
He subsequently took part in the Italian War of 1494–1498 as one of the French commanders.
When Louis XII became king in 1498, he had his marriage with Joan annulled by Pope Alexander VI and instead married Anne of Brittany, the widow of his cousin Charles VIII.
This marriage allowed Louis to reinforce the personal Union of Brittany and France.
Louis persevered in the Italian Wars, initiating a second Italian campaign for the control of the Kingdom of Naples.
Louis conquered the Duchy of Milan in 1500 and pushed forward to the Kingdom of Naples, which fell to him in 1501.
Proclaimed King of Naples,
Louis faced a new coalition gathered by Ferdinand II of Aragon and was forced to cede Naples to Spain in 1504.
Louis XII did not encroach on the power of local governments or the privileges of the nobility, in opposition with the long tradition of the French kings to attempt to impose absolute monarchy in France.
A popular king, Louis was proclaimed "Father of the People"  in 1506 by the Estates-General of Tours for his reduction of the tax known as taille, legal reforms, and civil peace within France.
Louis, who remained Duke of Milan after the second Italian War, was interested in further expansion in the Italian Peninsula and launched a third Italian War (1508–1516), which was marked by the military prowess of the Chevalier de Bayard.
Louis XII died in 1515 without a male heir.
He was succeeded by his cousin and son-in-law Francis from the Angoulême cadet branch of the House of Valois.
Antoinette de Bourbon
Antoinette de Bourbon Duchess of Guise( 25 December 1494 – 22 January 1583) was a French noblewoman of the House of Bourbon.
She was the wife of Claude of Lorraine, Duke of Guise.
Through her eldest daughter, Mary of Guise, she was the maternal grandmother of Mary, Queen of Scots.
Anne Denman
Anne Denman( 1587–1661) was born in Olde Hall, Retford, Nottinghamshire.
Through a fortunate second marriage with Thomas Aylesbury, she became the grandmother of Lady Anne Hyde, Duchess of York and great- grandmother of Queen Mary II and Queen Anne.
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 Carlos
I 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.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.

Question: Who is the paternal grandmother of Claude Of France?
Answer: Maria of Cleves