The Scotland Yard inquiry will run alongside the Portuguese investigation.
The inquiry launches on 3 April at St Paul's Centre in St Helier, when Mrs Oldham will explain to the public how the inquiry will be run.
The inquiry, which will run until 10 November, will examine whether or not government intervention is necessary.
The inquiry will now extend elsewhere.
The inquiry will identify how the NHS Trust that runs the hospital responded to concerns about waiting times and consider what lessons can be learned.
At this latest session, taking place in Edinburgh and running until the end of March, the inquiry will hear what patients were told, how they were monitored and why patients became infected.
The inquiry will look into the way the school and Labour-run council dealt with the case.
Portuguese authorities have reopened their investigation into the disappearance of Madeleine McCann, starting an inquiry that will run alongside a Scotland Yard probe.
The inquiry will sit in public.
The inquiry will have subpoena powers.
