How did Virginia notice the canterville ghost? Was the interaction different from that of her family

What do you mean by notice?

As for the way Virginia interacted with the ghost, she was kind, gentle, and solicitous.

With regard to little Virginia, he had not quite made up his mind. She had never insulted him in any way, and was pretty and gentle.

"I am so sorry for you," she said, "but my brothers are going back to Eton to-morrow, and then, if you behave yourself, no one will annoy you."

"Starve you to death? Oh, Mr. Ghost—I mean Sir Simon, are you hungry? I have a sandwich in my case. Would you like it?"