Apollodorus, 3.12.3 & f.n. 7 which disregard the connection stating that "if the family tree recorded by Apollodorus is correct, Batia could hardly have been the wife of Ilus, since she was his great-grandmother"
as cited in Apollodorus, 3.12.3, f.n. 8 & Scholiast on Homer, Iliad 3.250 which have the authority of the poet Alcman