Mr McCready said he would seek legal advice about whether there was enough evidence to lay charges against Ms Inglis.
A spokesman from the mayor's office said Mr Brown and his wife had no comment.
Mr Brown and his advisers have been working on several ways for the mayor to resume public duties, which could include a state of the nation-type address and resumption of his "mayor in the chair" chat sessions.
The mayor and Associate Transport Minister Michael Woodhouse will open the bus and train interchange, which the public have been invited to attend between 11am and 3pm.
Mr Brown's first formal engagement of the year was a powhiri for new council chief executive Stephen Town on Wednesday. Mr Town faces the task of rebuilding confidence among the 10,600 council staff.
A council executive yesterday said many staff were concerned about a lack of leadership and the effect the scandal was having on their work.
There are also concerns the mayoral office is too aloof from the rest of the council, although Mr Brown has agreed to forgo some executive powers and spend more time with councillors.
- additional reporting APNZ