“Mary Lou has set out very categorically everything that we knew and when we knew it in the Dáil {Irish parliament} statement,” O’Neill said.
“Everything that we know is now on the public record.”
O’Neill said she was “trying to be as transparent and open and frank” as possible.
“We are a human organisation made up of people; any organisation will have many challenges at different times,” she said.
Asked whether there are any outstanding cases where party members are being, or have been, investigated over similar concerns, she replied there are “certainly no other” cases that the party is engaged in.
Mr Ó Donnghaile served as Lord Mayor of Belfast from 2011 to 2012 and a councillor on Belfast City Council from 2011 to 2016.
Earlier on Wednesday, Democratic Unionist Party councillors requested that his portrait in Belfast City Hall be removed.
In a statement, a Sinn Féin spokesperson said the party “agrees that the portrait should be removed”.
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