What does Rani mean?
From Sanskrit 'rajni' (rani), the feminine of 'raja', meaning 'queen'. Used for both a queen regnant and a raja's wife across the Indian subcontinent and Southeast Asia.
What does Gauri mean?
From the Sanskrit गौरी (gaurī), 'fair, white, brilliant'. It is a classic epithet of the goddess Parvati, consort of Shiva, in her radiant form.