how does the governess know that the apparition of Quint is looking for Miles?

As the story progresses the governess discovers an ongoing relationship between Miles and Quint, Flora and Miss Jessel, which shows the children's apparent knowledge of the ghost's existence. After seeing the ghost of Peter Quint at the window the governess discovers that he was intently looking for Miles. "'He was looking for little Miles.' A portentous clearness now possessed me. 'That's whom he was looking for'" (31). Again upon seeing Miss Jessel's ghost across the pond the governess tells Mrs. Grose that the apparition had "'fixed the child...with such awful eyes...with a determination-indescribable. With a kind of fury of intention'" (38).