"Son of Anchises" refers to Aeneas, whose travels are recorded by Virgil in his "Aeneid". Aeneas was a hero of Greek mythology, the son of Trojan Anchises and the goddess of love, Aphrodite. After the fall of Troy, he escapes the city together with his father, his young son Ascanius (also known as Julus) and his wife Creusa, but becomes separated from his wife in the night. On their way to Epirus (today a region in the south of Albania) by boat they are surprised by a storm which sweeps them away to Sicily, where the aged father dies. Later, Aeneas goes to Carthage and falls in love with their queen Dido. After that, he goes to Latium, where he becomes befriended by Latinus, king of the Latins, who offers his daughter Lavinia in marriage to him. Aeneas defeats Turnus, king of the Rutuli; Camilla, princess of the Volsci; and the Etruscan king Mezentius. In the Aeneid, Virgil portraits him Aeneas as the earliest founder of the Roman empire, and his son Ascanius as the forefather of Caesar and Augustus.
The use of the name "Ilion" comes from the Aeneid. It is another name for the city of Troy.