Theophano (10th century)
Theophano( Greek: Θεοφανώ, Theophanō; 941 – after 978) was Byzantine empress by marriage to emperors Romanos II and Nikephoros II.
In 963, between the deaths of Romanos and her marriage to Nikephoros, she was regent for her sons, Basil II and Constantine VIII.
Theophano historically has been depicted as infamous.
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.
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.
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.
Romanos II
Romanos (or Romanus) II
(Greek:
Ρωμανός Β΄, "Rōmanos II")
(938 – 15 March 963) was a Byzantine Emperor.
He succeeded his father Constantine VII in 959 at the age of twenty-one and died suddenly in 963.
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.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
Constantine VII
Constantine VII Porphyrogennetos or Porphyrogenitus
(17–18 May 905 – 9 November 959) was the fourth Emperor of the Macedonian dynasty of the Byzantine Empire, reigning from 913 to 959.
He was the son of the emperor Leo VI and his fourth wife, Zoe Karbonopsina, and the nephew of his predecessor, the emperor Alexander.
Most of his reign was dominated by co-regents: from 913 until 919 he was under the regency of his mother, while from 920 until 945 he shared the throne with Romanos Lekapenos, whose daughter Helena he married, and his sons.
Constantine VII is best known for his four books, "De Administrando Imperio"
(bearing in Greek the heading Πρὸς τὸν ἴδιον υἱὸν Ῥωμανόν), "De Ceremoniis"
(Περὶ τῆς Βασιλείου Τάξεως)
, "De Thematibus" (Περὶ θεμάτων Άνατολῆς καὶ Δύσεως), and "Vita Basilii" (Βίος Βασιλείου).
His nickname alludes to the Purple Room of the imperial palace, decorated with porphyry, where legitimate children of reigning emperors were normally born.
Constantine was also born in this room, although his mother Zoe had not been married to Leo at that time.
Nevertheless, the epithet allowed him to underline his position as the legitimized son, as opposed to all others who claimed the throne during his lifetime.
Sons born to a reigning Emperor held precedence in the Eastern Roman line of succession over elder sons not born "in the purple".

Question: Who is Romanos Ii's paternal grandmother?
Answer: Zoe Karbonopsina