There wasn't a single "St. John River expedition"—rather, a series of early 17th-century French explorations of the St. John River (in present-day New Brunswick, Canada) led by Samuel de Champlain and associates.
These expeditions were part of the Acadia colonization effort (1604–1613). The St. John River was a critical corridor connecting the Bay of Fundy to the interior Wolastoqiyik (Maliseet) territories and the broader fur trade.
The river became a contested borderland (French/English, later US/Canada), a Loyalist settlement route (1783), and a timber highway (19th century). But the foundational European explorations occurred in 1604–1605 under Champlain.
If you're referencing a specific later expedition (e.g., military, survey, scientific), please clarify—the early Champlain voyages are the canonical "St. John River expeditions."