Eustochium combines the Greek eu (well) and stochos (aim) — "good aim, success." Saint Eustochium (368-419) was the daughter of Paula — Jerome's noblewoman patroness — who followed her mother to found a monastery in Bethlehem alongside Jerome. Jerome dedicated his Vulgate translation of the Psalms to her; she succeeded her mother as abbess.
Featured throughout Jerome's letters.
Eustochium does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Eustochium reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.