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 Ananya mean?
From Sanskrit ananya (अनन्य), 'without another, unique, matchless'; also 'undivided' in the sense of single-minded devotion. Well established.