She named all the flowers in the garden.

Literal

She [topic-は] garden [possessive-の] flowers [possessive-の] name [object-を] all said.

花の名を全部言った — 'said the names of the flowers, all of them.' 名 is a more literary reading of 名前 ('name'). 全部 ('all / everything') serves as an adverb modifying 言った. The sentence implies botanical knowledge — she could identify every flower.