"Her accusation of antisemitism is wrong and deeply offensive to me and my family," Mr Taylor told parliament responding to Dr Wolf releasing a video of a late-night call with an unnamed staffer in Mr Taylor's office.

"My grandmother was Jewish and my belief in Judeo-Christian values is deeply held. I call for her to apologise for these unsubstantiated and outrageous accusations."

Dr Wolf hit back immediately, tweeting, "I cannot believe that @AngusTaylorMP is calling on me IN PARLIAMENT to apologize for falsehoods he reiterated about me. I stand by every word I spoke and wrote. I am truly shocked. Sorry for Aus."

She later told ABC TV that her name had been "misused by an elected official to tell a false story about a war on Christmas" spinning off the narrative that Jewish people were a threat to Christians and had nothing in common with the mainstream.

"We're all distressed, my mum is distressed that my name would be inappropriately and wrongly invoked for what is clearly a religiously divisive fake narrative about a war on Christmas," she said.

His story suggesting she was involved in a war on Christmas in Oxford in 1991 was thoroughly false from beginning to end.

Dr Wolf has become embroiled in the controversies that have dogged Mr Taylor over recent weeks after stories re-emerged of his inaugural speech to Parliament in 2014 in which he invoked the leftist feminist author in the context of political correctness gone mad.

Mr Taylor told parliament in that speech that he had lived down the hall from Dr Wolf at Oxford in 1991. And he implied that Dr Wolf had been among "shrill elitist voices" campaigning against having a Christmas tree in a case of "insidious political correctness".

Dr Wolf rejected the story. She hadn't been an Oxford in 1991 and she hadn't campaigned against Christmas, she tweeted on Monday, accusing Mr Taylor of dog-whistle politics.

On Wednesday night, she called his office to demand an apology, and videoed the 29-minute call with an unnamed staffer, who told her that Mr Taylor had not suggested she had campaigned against Christmas.

This is what Mr Taylor said in the 2014 speech: "I first encountered political correctness as a student at Oxford. It was 1991, and a young Naomi Wolf lived a couple of doors down the corridor. Several graduate students, mostly from the north-east of the US, decided we should abandon the Christmas tree in the common room because some people might be offended. I was astounded."

But the staffer insisted, "Mr Taylor thinks you were in Oxford. You would have to have that conversation with him."

And in question time on Thursday, Mr Taylor held the line: "I recall seeing and meeting Ms Wolf at New College in Oxford during my time there. She began her studies there in the mid-80s and she finished at Oxford only a couple of years ago. Now my speech to the parliament six years ago did not say she was involved in the war on Christmas."

Dr Wolf said she didn't know Mr Taylor until four days ago and never recalled meeting him.

She described her phone call with the minister's office as "surreal".

The staffer repeatedly asked her to put her request for a correction in writing so she could receive a written response, but she refused, saying she wanted the record corrected publicly.

"The number 1 issue is to correct the statement in his maiden speech stating that I was anywhere in or near campaigners against Christmas in Oxford in 1991 because I wasn't," she told the staffer. "I didn't live down the hall from him. All of that is a misstatement. And I do not want to be invoked in a maiden speech among campaigners against Christmas because I never supported that, I don't believe it. It's not true. There's nothing true about it. It's not a matter of dispute, my whereabouts in 1991 are completely public."

She also accused Mr Taylor of "a really gross misuse" of her name and reputation in an ethnically divisive attacked, and suggested he was playing on her Jewish background to imply that Jews are anti-Christmas.

Mr Taylor has now demanded that she apologise for suggesting he was anti-Semitic, given his family background. His staffer also raised his background in the call, saying "The minister's grandparents are Jewish. On his maternal side they are Jewish."

Mr Taylor also faces renews pressure over the Jam Land case involving the potentially illegal clearing of native grasslands on a property he part owns, including with his brother after a Senate inquiry case found Mr Taylor had used his position to obtain special treatment for his family.

The inquiry, chaired by the Greens Sarah Hanson-Young detailed meetings and communications between Mr Taylor, former environment minster Josh Frydenberg and departmental officials over the critically endangered listing for grasslands and apparently over Jam Land itself in 2017. Mr Taylor's brother had a stake in the property at the time, but Mr Taylor only took a direct share a few months later.

Two official inquiries were set up into clearing of native grassland on the property - a NSW government inquiry that cleared the owners of wrongdoing on the basis that it could not be determine how much of the property was covered with negative grasslands before herbicides were used to clear it, and a Commonwealth inquiry that has been going for three years and is yet to conclude.

The Senate inquiry said Mr Taylor had interfered in the case. He hadn't properly declared his interest, including in meetings with the department, despite pushing for information on it in 2017. While Mr Taylor claimed he was representing the views of other farmers when he pushed on the issue, there was very little evidence to support this claim, which was overstated at best, and misleading at worst.

The Coalition senators on the inquiry rejected the criticism, saying Mr Taylor had acted appropriately and accusing the Greens of "blatant abuse" of the Senate committee process.