A fabulous bird established in that woman's town (9)
I believe the answer is:
rochester
'town' is the definition.
(I know that Rochester is a town)
'a fabulous bird established in that woman's' is the wordplay.
'a fabulous bird' becomes 'roc' (mythological bird of prey).
'established' becomes 'est' (abbreviated used in shop signs).
'in' is an insertion indicator.
'that woman's' becomes 'her' (belonging to a woman).
'est' put into 'her' is 'hester'.
'roc'+'hester'='ROCHESTER'
(Other definitions for rochester that I've seen before include "Medway town (and former city)" , "Reader, I married him" , "Man Jane married" , "Dickens's favourite city - hero of 12" , "Medway cathedral city" .)