In the old Babylonian inscriptions she is called the chief daughter of Anu, the god of heaven.
Among her titles, the one most frequently given is that of 'good lady.' She is the 'mother' who fixes the destinies of men and provides 'abundance' for the tillers of the soil.

Gudea calls her his mistress, and declares that it is she who "fills him with speech,"-- a phrase whose meaning seems to be that to Bau he owes the power he wields.

Locally, she is identified with Uru-azagga (meaning 'brilliant town'), a quarter of Lagash; and it was there that her temple stood.

As a consequence, we find her in close association with Nin-girsu, the god of Girsu.

We may indeed go further and assume that Girsu and Uru-azagga are the two oldest quarters of the city, the combination of the two representing the first natural steps in the development of the principality, afterwards known as Lagash, through the addition of other quarters[33].