What does Meera mean?
Best known for the 16th-century saint-poet Mirabai, devotee of Krishna. The word mira (मीरा) is glossed 'sea, ocean, boundary/limit'. Cross-cultural: Mira also means 'peace' in Slavic and occurs in Arabic and Latin naming.
What does Riya mean?
Commonly given as Sanskrit-derived riya (रिया), 'singer' or 'graceful'. It is not well attested in classical Sanskrit literature, so this meaning is popular rather than firmly documented.