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.
Kublai Khan
Kublai  was the fifth Khagan (Great Khan) of the Mongol Empire ("Ikh Mongol Uls"), reigning from 1260 to 1294
(although after the division of the empire this was a nominal position).
He also founded the Yuan dynasty in China as a conquest dynasty in 1271, and ruled as the first Yuan emperor until his death in 1294.
Kublai was the fourth son of Tolui (his second son with Sorghaghtani Beki) and a grandson of Genghis Khan.
He succeeded his older brother Möngke as Khagan in 1260, but had to defeat his younger brother Ariq Böke in the Toluid Civil War lasting until 1264.
This episode marked the beginning of disunity in the empire.
Kublai's real power was limited to China and Mongolia, though as Khagan he still had influence in the Ilkhanate and, to a significantly lesser degree, in the Golden Horde.
If one counts the Mongol Empire at that time as a whole, his realm reached from the Pacific Ocean to the Black Sea, from Siberia to what is now Afghanistan.
In 1271, Kublai established the Yuan dynasty, which ruled over present-day Mongolia, China, Korea, and some adjacent areas, and assumed the role of Emperor of China.
By 1279, the Mongol conquest of the Song dynasty was completed and Kublai became the first non-Han emperor to conquer all of China.
The imperial portrait of Kublai was part of an album of the portraits of Yuan emperors and empresses, now in the collection of the National Palace Museum in Taipei.
White, the color of the royal costume of Kublai, was the imperial color of the Yuan dynasty.
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.
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.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
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.
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.
Princess Jeguk
"Daejang"-Princess Jeguk (28 June 1259 – 21 May 1297, "Princess-Aunt of the State of Je") or Empress Inmyeong was queen consort to king Chungnyeol of Goryeo and the mother of king Chungseon of Goryeo.
She was the first Mongol queen of Korea, having gone to Goryeo from the Yuan dynasty.
Her father was Kublai Khan.
Princesses qualified as  were aunts of the emperor.
She was the aunt of Temür Khan, who later succeeded her father as the Yuan emperor.
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.
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.

Question: Who is Princess Jeguk's paternal grandmother?
Answer: Sorghaghtani Beki