Nor were they looking for anyone else in connection with Ginns' death, which had been referred to the Coroner.
Mr Anderson confirmed investigators were also focusing on an incident on Friday in which another woman was allegedly hog-tied and assaulted by Ginns.
Horrified neighbours said they saw the woman hobble out on to Ms Glassie's driveway where she collapsed on her knees.
They rushed to help - with a passing motorist - and were astounded to find she had been hog-tied.
One neighbour said the wire was tightly wrapped around her neck and wrists in a way that further strangled her when she moved.
At first, those arriving to help could not see the wire because it had embedded itself in her skin. Minutes later, Ginns and another man came racing up in a van and got out, saying they were there to collect the woman. They fled as a police car turned into the street.
There was no sign of Ginns until about 11.25am yesterday when he was seen pursuing Ms Glassie through central Tokoroa, where the town's Santa parade was being held.
Lions Club member Richard Nelson was directing traffic when two speeding cars turned towards him from SH1.
"The parade had just finished. There were kids all over the place.
"She was going 100km/h and this white car was right behind her - he couldn't have been more than one or two metres behind her.''
Mr Nelson said the shooting took place in an area full of children and their families, many of whom were crossing the road after watching the parade.
"Fortunately most of the kids were sitting in their floats (at the time). There were a couple of people they just missed.''
At the police station, "the car bounced up and skidded to a halt'', and the man pulled up alongside her.
The man then fired through his open window at the woman still sitting in the car, shattering the glass, said Nelson.
"I thought 'Christ, what's happening' and then I heard a boom and the guy following her took off.''
Police began hunting for Ginns, releasing his name as the person who had shot Glassie. The public were warned to stay away from him, as he was said to be extremely dangerous.
Mata Glassie is the aunt of Nia, who died five years ago aged 3 after horrific abuse, including being shut inside a dryer which was then turned on.
Anyone with information should contact Tokoroa Police or Crimestoppers anonymously on 0800 555 111.