Garrigue's break as a poet came in 1941 when she was published in "The Kenyon Review". She published her first collection in 1944, "Thirty-six Poems and a Few Songs", in "Five Young American Poets". Other collections include "The Ego and the Centaur" (1947) and "The Monument Rose" (1953), "A Walk by Villa d'Este" (1959) and "Country Without Maps" (1964)—both based on her travel experiences—"New and Selected Poems" (1967), and "Studies for an Actress" (1973). She received awards from "The Kenyon Review" for two pieces of fiction, a 1944 short story and the 1966 novella "The Animal Hotel". Her other prose publications include "Essays and Prose Poems" (1970), and a study "Marianne Moore" (1965).