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.
Ergamenes
Ergamenes is the hellenized name of a Nubian king of Meroë reported by Agatharchides in Diodorus Siculus( 3.2.6, FHN II No. 142).
According to this account, Ergamenes reigned in Meroë during the friendly Egyptian reign of Ptolemy II Philadelphus to Ptolemy IV Philopator, was instructed in Greek philosophy, favored Greek art and its way of life, although it could be rather intended as a cultural influence from a Ptolemaic- governed Egypt.
He resented the tradition of ancient Egypt and the Ethiopian priests' control over the King's power and preferred the absolute power of his neighbor, Ptolemy II:
Arsinoe I
Arsinoe I( 305 BC – after c. 248 BC) was Queen of Egypt by marriage to Ptolemy II Philadelphus.
Callixenus of Rhodes
Callixenus of Rhodes was a Hellenistic author from Rhodes.
He was a contemporary of Ptolemy II Philadelphus, Ptolemy III Euergetes and Ptolemy IV Philopator.
He wrote two works, both of which are lost.
Ptolemy II Philadelphus
Ptolemy II Philadelphus(" Ptolemaios PhiladelphosPtolemy, lover of his sister"; 308/9 – 28 January 246 BCE) was the pharaoh of Ptolemaic Egypt from 283 to 246 BCE.
He was the son of Ptolemy I Soter, the Macedonian Greek general of Alexander the Great who founded the Ptolemaic Kingdom after the death of Alexander, and queen Berenice I, originally from Macedon in northern Greece.
During Ptolemy II's reign, the material and literary splendour of the Alexandrian court was at its height.
He promoted the Museum and Library of Alexandria.
The magnificent and dissolute, intellectual and artificial atmosphere of the court has been compared with the Palace of Versailles of Louis XIV of France.
In addition to Egypt, Ptolemy's empire encompassed much of the Aegean and Levant.
He pursued an aggressive and expansionist foreign policy with mixed success.
From 275-271 BC, he led the Ptolemaic Kingdom against the rival Seleucid Empire in the First Syrian War and extended Ptolemaic power into Cilicia and Caria, but lost control of Cyrenaica after the defection of his half- brother Magas.
In the Chremonidean War( c. 267-261 BC), Ptolemy confronted Antigonid Macedonia for control of the Aegean and suffered serious setbacks.
This was followed by a Second Syrian War( 260- 253 BC) against the Seleucid empire, in which many of the gains from the first war were lost.
Philotera
Philotera( born 315/309 BC- probably after 282 BC and before 268 BC) was a Greek Macedonian noblewoman and a Greek Egyptian princess of the Ptolemaic dynasty.
Philotera was the daughter of Ptolemy I Soter and Berenice I of Egypt.
She had one older sister, Arsinoe II, and a younger brother, the future Pharaoh Ptolemy II Philadelphus.
From her parents' previous marriages, Philotera had various half- maternal and half- paternal siblings.
Little is known of her life.
Philotera died sometime after the accession of Ptolemy II to the Ptolemaic throne and before Arsinoe II died.
The fact that Philotera died before her sister did is demonstrated by a hymn written by Callimachus on the death of Arsinoe II.
After Philotera died, Ptolemy II deified her as a goddess.
Ptolemy II erected a temple in her honor in Alexandria.
Greeks and Egyptians worshipped her along with Arsinoe II, and Ptolemy II created a religious cult in her honour.
Ptolemy II also founded a port town in the Red Sea called Philotera, which is modern Safaga.
Cratinus Junior
Cratinus the Younger( 4th century BC) was a comic poet of the Middle Comedy, and was a contemporary of Plato and of Corydus.
He flourished in the middle of 4th century BC, and as late as 324 BC.
Some scholars believe that he even lived into the reign of Ptolemy II Philadelphus.
Hannah Arnold
Hannah Arnold, also known as Hannah Waterman King, was the grandmother of Benedict Arnolds children.
Ptolemy I Soter
Ptolemy I Soter(" Ptolemaîos SōtḗrPtolemy the Savior"; c. 367 BC – January 282 BC) was a companion and historian of Alexander the Great of the Kingdom of Macedon in northern Greece who became ruler of Egypt, part of Alexander's former empire.
Ptolemy was pharaoh of Ptolemaic Egypt from 305/304 BC to his death.
He was the founder of the Ptolemaic dynasty which ruled Egypt until the death of Cleopatra in 30 BC, turning the country into a Hellenistic kingdom and Alexandria into a center of Greek culture.
Ptolemy I was the son of Arsinoe of Macedon by either her husband Lagus or Philip II of Macedon, the father of Alexander.
Ptolemy was one of Alexander's most trusted companions and military officers.
After the death of Alexander in 323 BC, Ptolemy retrieved his body as it was en route to be buried in Macedon, placing it in Memphis instead, where it was later moved to Alexandria in a new tomb.
Afterwards he joined a coalition against Perdiccas, the royal regent over Philip III of Macedon.
The latter invaded Egypt but was assassinated by his own officers in 320 BC, allowing Ptolemy I to consolidate his control over the country.
After a series of wars between Alexander's successors, Ptolemy gained a claim to Judea in southern Syria which was disputed with the Syrian king Seleucus I Nicator, his former ally.
He also took control of Cyprus and Cyrenaica, the latter of which was placed under the control of Ptolemy's stepson Magas.
Ptolemy I may have married
Thaïs, his mistress during the life of Alexander; he is known to have married the Persian noblewoman Artakama on Alexander's orders.
He later married Eurydice, daughter of the Macedonian regent Antipater; their sons Ptolemy Keraunos and Meleager ruled in turn as kings of Macedon.
Ptolemy's final marriage was to Eurydice's cousin and lady- in- waiting, Berenice I. Ptolemy I died in 282 BC and was succeeded by his son with Berenice, Ptolemy II.
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.

Question: Who is Ptolemy Ii Philadelphus's paternal grandmother?
Answer: Arsinoe of Macedon