is said to have been the genuine Roman name for Tanaquil, the wife of Tarquinius Priscus. (Plin. Nat. 8.74; Val. Max. Epit. de Praen. in fin.; Festus, s. v. Gaia; Plut. Quaest. Rom. p. 271e.) Both her names, Caia and Caecilia, are of the same root as Caeculus, and the Roman Caecilii are supposed to have derived their origin from the Praenestine Caeculus. (Fest. s. v. Caeculus.) The story of Caia Caecilia is related under TANAQUIL; and it is sufficient to say here, that she appears in the early legends of Rome as a woman endowed with prophetic powers, and closely connected with the worship of the god of the hearth. That she was, at the same time, looked upon as a model of domestic life, may be inferred from the fact, that a newly married woman, before entering the house of her husband, on being asked what her name was, answered, " My name is Caia." (Val. Max. l.c.; Plut. Quaest. Rom. p. 271e.)
[L.S]A Dictionary of Greek and Roman biography and mythology
Smith, William
A Dictionary of Greek and Roman biography and mythology. William Smith, LLD, ed. 1890