However, the Information Tribunal overruled the department, saying "the balance of public interest favoured disclosure".
However, it confirmed it had appealed against the scale of the penalty to the Information Tribunal.
BBC: Scottish Borders Council appeals over dumped records fine
The decision by an information tribunal redefined the Duchy, a 700-year-old private institution, as a public body.
But the Information Tribunal rejected the appeal and ruled that "the balance of public interest favoured disclosure".
The information commissioner had already ruled that it should be published, but the government had appealed to the information tribunal.
The information tribunal - a panel of three headed by Judge John Angel - is considering the government's appeal following a two-day hearing in central London.
Commons authorities are currently fighting at the High Court an Information Tribunal ruling that a detailed breakdown of 14 current and ex-MPs' claims under their second homes allowance should be published.
It was subsequently told to publish it by the Information Commissioner, and the Information Rights Tribunal later upheld the watchdog's ruling.
In November the Information Rights Tribunal will hear a case concerning the use of private emails by the Education Secretary Michael Gove and his advisers.
They voted by 328 to 213 on 19 March 2012 to reject an amendment calling for the Health and Social Care Bill's third reading to be delayed until peers had a chance to consider a decision by the Information Rights Tribunal.
During cross-examination, Mr Harris acknowledged the PSNI had not passed the intelligence onto gardai but denied a decision was made by the PSNI or MI5 not to share the information with the tribunal.
While ministers mull over how to proceed on extending the Freedom of Information Act, a case involving the regulations governing the disclosure of environmental information is to be heard by the Upper Tribunal on Tuesday.
The tribunal found the school had discriminated against the girl by failing to pass the information onto her parents.
They could appeal to the High Court against the tribunal's decision, which was itself the result of an appeal against a ruling by the Information Commissioner.
That's a complex issue which will also be examined in a tribunal hearing on Tuesday about whether privatised water companies have to release data in compliance with the Environmental Information Regulations.
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