Documents made public by Federal Parliament yesterday show former ACT chief minister Katy Gallagher, who gained British citizenship by descent through her father, submitted forms to relinquish her British citizenship on April 20 a year ago.
Labor argues that seven government lawmakers filed "unconvincing" or "incomplete" disclosures, while the government raised doubts over four opposition MPs, and there is a cloud over another independent lawmaker.
Earlier, Mr Shorten had refused to refer Labor MPs, except Mr Feeney, to the High Court until three Liberal MPs produced further evidence that they were not dual citizens.
Senator Gallagher insisted she did not believe she had a problem with her eligibility while asking to be referred to the High Court in the Senate this morning.
The Australian government faced more turmoil on Wednesday with additional Federal politicians facing referral to the High Court over dual nationality questions that could further threaten Prime Minister Malcolm Turnbull's already shaky position in parliament.
Mr Burke said Labor would make that referral if the documents can not be found.
The Senator maintains she took the steps required to renounce her foreign ties, but it's likely she'll be referred to the High Court.
Labor's Josh Wilson, the member for Fremantle, and Justine Keay and Nick Xenophon Team MP Rebekha Sharkie also fall into the group of MPs who took steps to renounce their British citizenship before nominating but did not have their renunciation confirmed until after nominations closed on June 9.
Mr Shorten said Labor was up for ending the circus but called for the Liberal MPs to stop hiding behind "half-filled disclosures" and "inadequate explanations".
He revealed Labor was even prepared to refer to court Environment and Energy Minister Josh Frydenberg, whose parents arrived in Australia stateless after escaping the Nazis.
While "to the best of my memory from a decade ago", he had sent the paperwork to both the UK and Ireland, and could confirm he was not an Irish citizen, "I accept that I have been unable to produce the requisite notice of renunciation with the respect to the United Kingdom", he said.
Mr Hawke and Ms Banks received advice that they had to be registered with the Greek municipal government in order to be considered a citizen despite being eligible.
"The Australian people are sick of this constitutional crisis, the only way to resolve this citizenship crisis is with the cooperation of all sides of parliament", he said.
She said she'd taken all reasonable steps to renounce her British citizenship.
Senator Gallagher stood aside from her frontbench portfolios and as manager of opposition business in the Senate.