She agreed to speak to the reporter only 'on condition of anonymity'. [=only if her name would not be revealed by the reporter]
They are trying to protect their child's 'anonymity'.
She enjoyed the 'anonymity' of life in a large city.
(..) Yeah, actually. So you read a file that you liked... ...and then you gave the agency the serial number and they contacted us? Yes. Our system ensures total anonymity. - We're very proud of it. - You should be. You're really on top of stuff. Well then, if there's nothing else, (..)2004 TvShow: Friends Title: The One with the Birth Mother Season: 10 Episode 9