Inara just takes Nova looking around the ship as interest and nothing more. Perhaps it's naive of her, but she'd prefer to try and think of the best in people. Perhaps a part of Kaylee had rubbed off on her in that aspect.

"Serenity is a Firefly Transport ship." She motioned toward the doors that lead to her shuttle. "I rent one of the shuttles, it's been my home for over a year now. Well in my world at least."