Arruns Tarquinius (son of Tarquin the Proud)
Arruns Tarquinius L. f. L. n. was the second son of Lucius Tarquinius Superbus, the seventh and last King of Rome.
Tarquinia (mother of Lucius Brutus)
In Rome's early semi-legendary history, Tarquinia was the daughter of Lucius Tarquinius Priscus, the fifth king of Rome,( and either sister or aunt to Rome's seventh and final king, Lucius Tarquinius Superbus).
She was the mother of Lucius Junius Brutus, who overthrew the monarchy and became one of Rome's first consuls in 509 BC.
She had another son, who was put to death by Superbus.
Lucius Tarquinius Superbus
Lucius Tarquinius Superbus (died 495 BC) was the legendary seventh and final king of Rome, reigning from 535 BC until the popular uprising in 509 BC that led to the establishment of the Roman Republic.
He is commonly known as Tarquin the Proud, from his cognomen "Superbus" (Latin for "proud, arrogant, lofty").
Ancient accounts of the regal period mingle history and legend.
Tarquin was said to have been the son or grandson of Lucius Tarquinius Priscus, the fifth king of Rome, and to have gained the throne through the murders of both his wife and his elder brother, followed by the assassination of his predecessor, Servius Tullius.
His reign is described as a tyranny that justified the abolition of the monarchy.
Sextus Tarquinius
Sextus Tarquinius( known as Tarquin) was the third and youngest son of the last king of Rome, Lucius Tarquinius Superbus, according to Livy, but by Dionysius of Halicarnassus he was the oldest of the three ..
It is possible he was the youngest of the family as the name “ Sextus ” translates to sixth in English implying he was the sixth of two living and three stillborn brothers.
According to Roman tradition, his rape of Lucretia was the precipitating event in the overthrow of the monarchy and the establishment of the Roman Republic.
Lucius Tarquinius Priscus
Lucius Tarquinius Priscus, or Tarquin the Elder, was the legendary fifth king of Rome from 616 to 579 BC.
His wife was Tanaquil.
Titus Tarquinius
Titus was the eldest son of Lucius Tarquinius Superbus, the last king of Rome.
During his father's reign, he accompanied his younger brother Aruns and his cousin Lucius Junius Brutus to consult the Oracle at Delphi to have interpreted an omen witnessed by the king.
In 509 BC, upon the overthrow of the monarchy, Titus went into exile at Caere with his father and his brother Aruns.
In around 496 BC he fought with his father and the Latins against Rome at the Battle of Lake Regillus.
During the battle, Marcus Valerius Volusus, who had been the Roman consul in 505 BC, charged Titus in an attempt to slay him, but was himself killed by Titus' men.
Arruns Tarquinius (son of Tarquin the Proud)
Arruns Tarquinius L. f. L. n. was the second son of Lucius Tarquinius Superbus, the seventh and last King of Rome.
Arruns Tarquinius (son of Demaratus)
Arruns Tarquinius was the younger son of Demaratus of Corinth, who migrated to the Etruscan city of Tarquinii in the seventh century BC.
He died shortly before his father, leaving his wife pregnant.
When Demaratus died, he left no inheritance for his grandson, also named" Arruns," who was thus born into poverty, although Demaratus had been wealthy.
The child came to be called" Egerius", meaning" the needy one."
Demaratus' elder son, Lucius, migrated to Rome, where he eventually rose to the throne as Lucius Tarquinius Priscus.
After subduing the Latin town of Collatia, Tarquin placed his nephew in charge of the Roman garrison there.
Egerius was the father of Lucius Tarquinius Collatinus, one of the first Roman consuls in 509 BC.
Octavius Mamilius
Octavius Mamilius( died 498 BC) was" princepsleader, prince") of Tusculum, an ancient city of Latium.
He was the son-in- law of Lucius Tarquinius Superbus, the seventh and last king of Rome.
According to tradition, the" gens Mamilia" was descended from Mamilia, reputedly a granddaughter of Ulysses( Odysseus) and Circe.
Titus Livius described Octavius as head of one of the most distinguished families of Latium, and thus an important ally of Tarquinius.
Arruns Tarquinius (brother of Tarquin the Proud)
Arruns Tarquinius was the brother of Lucius Tarquinius Superbus, the seventh and last King of Rome.
According to most ancient authors, Arruns and his brother were the sons of Lucius Tarquinius Priscus, the fifth Roman king, and Tanaquil.
However, in some sources they are described as grandsons; their father may have been a certain Gnaeus Tarquinius, who according to an Etruscan tradition was defeated and killed by the heroes Aulus and Caelius Vibenna, together with a certain" Macstarna".
Apparently the Etruscan equivalent of the Latin word" magister", Macstarna has been identified with Servius Tullius, the sixth King of Rome.
According to legend, Servius had come to the palace as a child, following the capture of Corniculum by Tarquinius Priscus.
Tanaquil, who was skilled in prophecy, discovered his potential for greatness by various omens.
When the elder Tarquin was assassinated, Tanaquil gave out that he was merely wounded, and installed Servius as regent, preferring him to her own sons.
The Etruscan tradition may preserve an account of a revolt by Tarquin's sons against Servius' magistracy.
Servius married a daughter of the elder Tarquin, and in turn he gave his own daughters to Arruns and Lucius Tarquinius.
Arruns Tarquinius was mild and unassuming, while his brother was ambitious.
Arruns' wife, known to history as Tullia Minor, as she was the younger daughter, was similarly ambitious, while her elder sister was not.
Tullia sought to place her husband on the throne, which would require her father's death.
But as Arruns lacked the ambition to overthrow his father- in- law, Tullia contrived his murder, and that of her own sister, that she might marry Lucius.
Once these deeds were accomplished, she and Lucius plotted her father's destruction.
With a sudden and bloody palace coup, the pair deposed and murdered the king, and Lucius seized the throne.
Lucius' second son was named after his murdered brother; but it was the overweening pride and arrogance of Lucius' sons that brought about the downfall of the Roman monarchy.
The younger Arruns fell in battle against the consul Lucius Junius Brutus in 509 BC.

Question: Who is the mother of Lucius Tarquinius Superbus?
Answer: Tanaquil