Arimneste
Arimneste () was the daughter of Nicomachus and Phaestis, and Aristotle's older sister.  In addition to Aristotle, Arimneste had a brother named Arimnestus.  Her name and that of her brother translates as "Greatly remembered".

There were two famous men named "Arimnestus". The first Arimnestus was the Spartan soldier who killed the Persian general, Mardonius, at the Battle of Platea. The second Arimnestus was the King of the Tyrrhenians, who sent a gold throne to Olympia in honor of the Olympic Games.

Arimneste married Proxenus of Atarneus, by which they had a daughter, Hero, and a son, Nicanor.

Hero was Callisthenes of Olynthus' mother.  Nicanor married Aristotle's daughter Pythias.  According to Aristotle's will, Nicanor was to manage the family affairs until his own son, Nicomachus came of age.

References

 
Diogenes Laërtius, Life of Aristotle. Translated by C.D. Yonge.
 Eduard Zeller, Aristotle and the Earlier Peripatetics (1897).

Aristotle
Ancient Stagirites
4th-century BC Greek people
4th-century BC Greek women