Warrnambool police Crime Investigation Unit detectives yesterday arrested and interviewed the woman, Elizabeth Cornwall, previously of NSW and the Melbourne suburb of Doreen.

She will appear in the Geelong Magistrates Court today for a remanded application hearing.

Detective Sergeant Lee Porter, of the Warrnambool police CIU, said the woman provided no comment in yesterday's interview with officers.

The woman is understood to have been housed in a Geelong mental health care facility since she was arrested on Monday April 21, and there are still concerns over the state of her mental health.

So far she has been charged with about 30 offences, mainly involving driving and reckless conduct, but investigations are continuing.

The woman was reported missing to police on Friday, April 18, and is alleged to have started offending two days later.

Detective Sergeant Porter said it would be alleged that at Springvale on Sunday, April 20, the woman rammed another vehicle in a shopping complex car park and attempted to run over pedestrians.

The incident in the south-west started the following day at Bookaar when the woman, who is alleged to have been armed with a machete, rammed a vehicle containing a three-year-old child just after noon.

Less than two hours later, a police pursuit began in Camperdown where the woman allegedly rammed a police car with her Toyota four-wheel-drive.

Police observed the woman arrive in Colac about 2.20pm and drive around areas south and north of the city for about half an hour before allegedly driving past an elderly woman pedestrian, doing a U-turn, mounting a kerb and running down the pedestrian at 2.53pm.

The woman suffered a significant laceration to a leg.

Police air wing and officers in police vehicles then followed the woman to Geelong where she eventually ran over stop sticks and was arrested after a couple of hours on the run.