He was succeeded by his close relative, Saint Perpetuus.
His extremely rare name suggests a possible connection to Saint Eustochium.
T. S. M. Mommaerts and D. H. Kelley make the point that his father was Eustochium's brother, Julius Toxotius the Younger, and that his maternal grandfather was Publius Ceionius Caecina Albinus, of the Ceionii Volusiani.
Eustochius was descended from an illustrious family of Auvergne, and, according to Gregory of Tours, was a man of eminent virtue.
He built a church in Tours and deposited there relics of Gervasius and Protasius.