The Canterville ghost does not make any plans to frighten Virginia because she is the only member of the family who does not humiliate or belittle him. In Chapter Three, for example, it is noted that Virginia does not "enter into the joke" of the re-appearing blood-stain in the library. This contrasts with her brother, Washington, who is constantly cleaning it. Similarly, as the narrator mentions:
She had never insulted him in any way, and was pretty and gentle.
Evidently, the ghost likes Virginia and does not want to upset her. There is also another reason why the ghost does not make plans to scare her: he knows that he will soon need her help. Once he has tired of trying to scare her family, the ghost becomes depressed and thinks often about death. In order to die, however, he must fulfill the prophecy on the library window which expressly states that he needs a "golden girl" to pray for him. As the only character who fits this description, the ghost knows that he must appeal to Virginia and her good nature for his dreams to be realized.