All dogs involved have since been put down.
The two dogs now in question were not involved in either mauling incident.
The dogs were able to stay with their owners until the process was completed, the council spokeswoman said.
Council does not yet have a court date, nor an outline of the process.
At the hearing last month, Ms Vearer and Ms Bremner made an emotional plea to the committee to overturn a council decision that prevented them from owning dogs for five and two years respectively.
In his decision as committee chairman, councillor Mick Lester declined applications from both women.
He said the committee considered that the serious nature of the event leading up to the conviction following the attack justified the bans.
Mr Lester said the Dog Control Act did not allow conditions to be added to a disqualification, such as, in this case, the women being able to keep the two small dogs.
"Effectively, the law does not allow council to grant the applicants' request to retain the two dogs," Mr Lester said.