The name Batya is a girl's name of Hebrew origin meaning "daughter of God". Batya and discussed in our forums with posts like "A brother or sister for little Jack or Olivia".
From the experts:
With Katya catching on, this sound-related name could too, though there is the Batgirl association. Basha, Basya, Batyah, Bitya, Peshe, Pessel (Yiddish).