What does Nitya mean?
From Sanskrit nitya (नित्य), 'eternal, perpetual, constant'; also used as an epithet of the Goddess (Durga/Devi). Well established.
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.