What does Asha mean?
From Sanskrit 'asha' (आशा) meaning 'hope, wish, desire'. Flag: an identically spelled but etymologically DIFFERENT Avestan word 'asha' means 'truth/cosmic order' (Zoroastrianism), and the Swahili name Asha derives from Arabic for 'life' - these are separate roots that share a spelling.
What does Ananya mean?
From Sanskrit ananya (अनन्य), 'without another, unique, matchless'; also 'undivided' in the sense of single-minded devotion. Well established.