This is the honorific term. In the meaning „old woman“ first attested in 1694, in the present form in 1867.
Comments on word
in the form ōba „great mother“ attested in annotated Chinese text in 令集解 (738), in wabun in 10th century. Present form attested in 19th century. Other variants for „old woman“, baba (1694), babā (1791)