BATEIA was a Naiad-nymph of the town of Sparta in Lakedaimonia (southern Greece). She was the wife of the Spartan king Oibalos (Oebalus).
Perhaps a daughter of the River EUROTAS
TYNDAREOS, HIPPOKOON, IKARIOS (by Oibalos) (Apollodorus 3.123)
BATEIA (Bateia) A Naiad of the name of Bateia occurs in Apollodorus. (iii. 10. § 4.)
Source: Dictionary of Greek and Roman Biography and Mythology.
CLASSICAL LITERATURE QUOTES
Pseudo-Apollodorus, Bibliotheca 3. 123 (trans. Aldrich) (Greek mythographer C2nd A.D.) :
"Oibalos (Oebalus) who was the father of Tyndareos (Tyndareus), Hippokoon (Hippocoon), and Ikarios (Icarius) by the Naias Nymphe named Bateia."
- Apollodorus, The Library - Greek Mythography C2nd A.D.