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.
Infanta Francisca Josefa of Portugal
Infanta Francisca Josefa Maria Xaviera (30 January 1699 – 15 July 1736) was a Portuguese "infanta" (princess) and the last of eight children of King Peter II of Portugal and his second wife Marie Sophie of Neuburg.
Francisca Josefa was born and died in Lisbon.
Victor Amadeus, Prince of Piedmont was proposed as a possible marriage for the infanta, but nothing came of it.
She never married nor had issue and she died when she was 37 years old.
She is buried at the Royal Pantheon of the Braganza Dynasty.
Afonso, Prince of Portugal (1526)
Afonso, Prince of Portugal was the first son of king John III of Portugal and his queen, Catherine of Austria.
He was the Prince of Portugal but died in the same year he was born, in 1526.
Peter II of Portugal
"Dom" Pedro II (Peter II; 26 April 1648 – 9 December 1706), nicknamed "the Pacific", was the King of Portugal from 1683 until his death, previously serving as regent for his brother Afonso VI from 1668 until his own accession.
He was the fifth and last child of John IV and Luisa de Guzmán.
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.
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.
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.
Mona Hopton Bell
Mona Hopton Bell( 1867- 1940) was a British artist, best known for her portraits of civic figures.
She was the grandmother of the painter Jean H. Bell.
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.

Question: Who is the paternal grandmother of Infanta Francisca Josefa Of Portugal?