Irene of Trebizond
Irene of Trebizond( died around 1382) was the bigamous wife of Basil of Trebizond, by whom he had two sons, Alexios and John( later Alexios III of Trebizond), and possibly three daughters Anna, Maria and Theodora.
Helena Kantakouzene, Empress of Trebizond
Helena Kantakouzene( died 1463) was the second wife of David of Trebizond, the last Emperor of Trebizond.
Recent research has led to doubts regarding her existence.
Rusudan of Georgia, Empress of Trebizond
Rusudan of Georgia, Empress of Trebizond was a consort of Manuel I of Trebizond, and the mother of Empress Theodora.
Very little is known for certain about her.
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.
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.
Anna of Trebizond
Anna Anachoutlou (died 1342) was Empress of Trebizond from July 17, 1341, to September 4, 1342.
Anna was the elder daughter of Emperor Alexios II of Trebizond and his Georgian wife, Djiadjak Jaqeli.
Maria of Gothia
Maria of Gothia was the first wife of David of Trebizond, last Emperor of Trebizond, whom she married in 1426.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
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.
Alexios II of Trebizond
Alexios II Megas Komnenos or Alexius II (Sept./Dec. 1282 – 3 May 1330), was Emperor of Trebizond from 1297 to 1330.
He was the elder son of John II and Eudokia Palaiologina.
Alexios proved to be a skillful and energetic ruler, under whose rule the Empire of Trebizond reached the climax of its prosperity.
He rebuffed the inroads of the marauding Turks, and adequately handled the encroachment of Genoa and Venice.
He also cultivated the arts and sciences at his court serving as a patron to the Byzantine astronomer Gregory Choniades and the scholar Constantine Loukites.

Question: Who is the paternal grandmother of Anna Of Trebizond?
Answer: Eudokia Palaiologina