Anna Palaiologina (daughter of Michael IX)
Anna Palaiologina  was a Byzantine princess and queen-consort ("basilissa") of the Despotate of Epirus.
She was a daughter of the Byzantine co-emperor Michael IX Palaiologos and his wife Rita of Armenia.
Already in 1304, her hand was sought by the Epirote regent, Anna Palaiologina Kantakouzene, for her son
Thomas I Komnenos Doukas
; the marriage eventually took place in ca. 1307.
When Thomas was murdered by his nephew, Nicholas Orsini, in 1318, the latter took Anna as his wife.
She died in 1320.
Michael IX Palaiologos
Michael IX Palaiologos or Palaeologus ("Mikhaēl IX Palaiologos"), (17 April 1277 – 12 October 1320, Thessalonica, reigned as Byzantine co-emperor with full imperial style 1294/1295–1320.
Michael IX was the eldest son of Andronikos II Palaiologos and Anna of Hungary, daughter of Stephen V of Hungary.
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.
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.
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.
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.
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.
Purnima (Hindi actress)
Purnima Das Verma( born Meherbhano Mohammad Ali) was an Indian film actress who worked predominantly in Hindi language films.
She is the grandmother of actor Emraan Hashmi.

Question: Who is Anna Palaiologina (Daughter Of Michael Ix)'s paternal grandmother?
Answer: Anna of Hungary