She was very 'inquisitive' [='curious'] as a child.
She looked at me 'inquisitively'.
an overly 'inquisitive' neighbor
(..) That depends on your intentions. Strictly honorable, I can assure you. A man sees a beautiful chick, and he can't help but be inquisitive, you know. Would you think it naughty of me if I offered... to buy you a drink? But you already have. I knew that. (..)1975 The Return of the Pink Panther