Mr Morgan, the spokesman for King Tuheitia, has been elaborating on a reference to Auckland claims that the king made in a speech on Friday at coronation anniversary celebrations at Turangawaewae.
King Tuheitia talked about a new era of rights and claims and of defending the stature of the Kingitanga - the Maori King movement established in the 1850s to prevent more land confiscations.
"We will start with the Kingitanga claims in Tamaki."
He also wanted further to address "the question of sovereignty of the Kingitanga with the Government and the Crown."
King Tuheitia talked about his struggle with health - he has diabetes - and said he wanted to "leave a legacy for the next one to continue."
Mr Morgan told the Herald that Tainui had a claim over the Auckland area which had been filed in 1993 by Huakina on behalf of Tainui.
The first Maori King, Potatau Te Wherowhero, had lived in Mangere, and had other houses at Howick and a summer home in what is now the domain, and he had mana over the Auckland area.
Mr Morgan said the Huakina claim covered a region from the upper reaches of Waikato across to the Firth of Thames, up as far as Mahurangi, across to Piha and down to the Manukau Harbour.
Mr Morgan said that at a meeting about five weeks ago between himself and Mr Finlayson and Housing Minister Nick Smith, Mr Finlayson had agreed they could begin to draw up terms of negotiation.
Mr Finlayson disputes that - and said he was not aware of a Huakina claim.
He also cited a letter dated August 15, 2013, to Tom Roa, interim negotiator for Waikato-Tainui, stating: "I have previously invited Waikato-Tainui to clarify the nature of any outstanding claims it considers it may have in [Auckland] and urge you to do so.
"The priority focus should be on the development and recognition of an appropriate mandate for dealing with any outstanding claims ..."
Tainui settled a claim with the Government in 1995 on confiscated lands.