Her GP husband,Dr Philip Webster,is chair of the organisation.
The Websters and Zoe Support launched Federal Court defamation proceedings in May against prolific social media user Karen Brewer,an Australian woman the court heard may now reside in New Zealand.
Ms Brewer,whose Facebook page was deleted in recent days,claimed in a series of seven posts and videos,starting in April,that the trio were part of a secretive criminal network involved in the sexual abuse of children.
She has previously accused the Australian Parliament,the judiciary and others of being part of a vast paedophile protection racket.
In a judgment on Tuesday,Justice Jacqueline Gleeson said Ms Brewer's conduct was"disgraceful and inexplicable"and the Websters had not even heard of Ms Brewer before the posts. The publications identified no"sensible basis"for the allegations and were"wholly indefensible".
Justice Gleeson said"rational people"would regard the posts as"delusional"but the"vile"claims nevertheless warranted substantial damages.
Ms Brewer did not appear in court,in person or via a lawyer,to defend the claim. Justice Gleeson filed default judgment in favour of the Websters and Zoe Support.