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.
Scribonia (wife of Crassus)
Scribonia Magna , known in modern historical sources as Scribonia Crassi, was a Roman noblewoman that lived in the Roman Empire.
Scribonia was the daughter and only child of Lucius Scribonius Libo consul AD 16, and Cornelia Pompeia Magna.
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.
Pompeia Magna
Pompeia Magna( born 80/75 BC- before 35 BC) was the only daughter and second child born to Roman triumvir Pompey the Great( Gnaeus Pompeius Magnus) from his third marriage, to Mucia Tertia.
Her elder brother was Gnaeus Pompeius and her younger brother was Sextus Pompey.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
Sextus Pompey
Sextus Pompeius Magnus Pius, in English Sextus Pompey( 67 BC – 35 BC), was a Roman general from the late Republic( 1st century BC).
He was the last focus of opposition to the Second Triumvirate.
His father was Gnaeus Pompeius Magnus( Pompey the Great).
Gnaeus Pompeius Magnus (husband of Claudia Antonia)
Gnaeus Pompeius Magnus (died AD 47) was a noble Roman that lived during the 1st century; he is not to be confused with his namesake Pompey the Great.
Pompeius was one among the sons of the consul of the year 27, Marcus Licinius Crassus Frugi and Scribonia.
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.
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.
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.

Question: Who is Gnaeus Pompeius Magnus (Husband Of Claudia Antonia)'s maternal grandmother?
Answer: Cornelia Pompeia