Kaya Alp
Kaya Alp was, according to Ottoman tradition, the son of Kızıl Buğa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertuğrul, and the great grandfather of the Ottoman Empire founder, Osman I.
Pankratios of Trebizond
Pankratios or Pangratios was the first Metropolitan bishop of Trebizond following the Ottoman conquest of the Empire of Trebizond in 1461.
Nothing is known about Pankratios' origin or early career prior to his appointment as metropolitan.
The see had been vacant since the capture of Trebizond and the incorporation of the Empire of Trebizond to the Ottoman Empire in 1461, as the bulk of the Trapezuntine upper classes, including the secular nobility and the ecclesiastical hierarchy, were transferred to the Ottoman capital, Constantinople.
It was not until ca. 1472 that the vacancy was addressed.
This was partly the result of the appointment of the Trapezuntine Symeon I as Patriarch of Constantinople, but owed more to political considerations on the part of the Ottoman Sultan, Mehmed II: the Christians of the Pontus region around Trebizond had been restive against Ottoman rule, and were encouraged by the neighbouring Aq Qoyunlu sultan Uzun Hassan.
The latter was linked through family ties with the former imperial house of Trebizond, and lent his support to a scion of that house, Alexios Komnenos.
In order to counteract the threat of a rebellion, the Sultan elevated Symeon to the patriarchal throne, and he immediately appointed Pankratios to the metropolitan throne of Trebizond.
It appears, however, that the latter was unable to satisfy the Sultan's expectations about calming the province, and already after a few months Mehmed II demanded his replacement.
Pankratios was succeeded by Dorotheos II, and nothing further is known of him thereafter.
Maria of Gothia
Maria of Gothia was the first wife of David of Trebizond, last Emperor of Trebizond, whom she married in 1426.
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.
Helena Megale Komnene
Helena Megale Komnene  (died 1366) is the name given for the first wife of King Bagrat V of Georgia.
Her first name is recorded in "The Georgian Chronicle", and her family name is based on a theory which identifies her as a daughter of Basil of Trebizond.
If true, the identity of her mother would be uncertain.
Basil was bigamous, concurrently married to Irene Palaiologina and Irene of Trebizond.
Helena died in 1366, victim to a plague which had spread across Georgia during the 1350s and 1360s (possibly a recurrence of the Black Death).
A year after her death, her husband married Anna of Trebizond.
According to the "Georgian Chronicle", Helena was survived by two children:
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.
Irene Palaiologina of Trebizond
Irene Palaiologina (Greek:
Ειρήνη Παλαιολογίνα, "Eirēnē Palaiologina"), (c. 1315 – after 1341) was Empress of Trebizond from April 6, 1340 to July 17, 1341.
She was an illegitimate daughter of the Byzantine Emperor Andronikos III Palaiologos, and she married Emperor Basil of Trebizond in 1335.
Irene Palaiologina (Byzantine empress)
Irene Palaiologina( died after 1356), was the Empress consort of Matthew Kantakouzenos.
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.
Andronikos III Palaiologos
Andronikos III Palaiologos (25 March 1297 – 15 June 1341), commonly Latinized as Andronicus III Palaeologus, was the Byzantine emperor from 1328 to 1341.
Born Andronikos Doukas Angelos Komnenos Palaiologos , he was the son of Michael IX Palaiologos and Rita of Armenia.
He was proclaimed co-emperor in his youth, before 1313, and in April 1321 he rebelled in opposition to his grandfather, Andronikos II Palaiologos.
He was formally crowned co-emperor in February 1325, before ousting his grandfather outright and becoming sole emperor on 24 May 1328.
His reign included the last failed attempts to hold back the Ottoman Turks in Bithynia and the defeat at Rusokastro against the Bulgarians, but also the successful recovery of Chios, Lesbos, Phocaea, Thessaly, and Epirus.
His early death left a power vacuum that resulted in the disastrous civil war between his Empress-dowager, Anna of Savoy, and his closest friend and supporter, John VI Kantakouzenos.

Question: Who is the paternal grandfather of Irene Palaiologina Of Trebizond?
Answer: Michael IX Palaiologos