The South West Norfolk MP has expressed her shock at the violent death of a 83-year-old dog walker who was stabbed to death near East Harling.
The details of the three people, who were not necessarily seen together, came from witnesses in the area at the time.
Police appealed to three men yesterday who were seen in different areas close to the murder scene.
An inquest into Mr Wrighton's death has been opened and adjourned, and the medical cause of death was recorded as "incised wounds to the neck".
Mr Wrighton's last known sighting was within the Kenninghall Post Office between 10.08am and 10.12am on Saturday.
Norfolk's County Policing Commander, Chief Superintendent Mike Fawcett, said: "I would like to reassure the public that we are following several lines of enquiry and are pleased the public are supporting us in our investigation". He is of athletic build with short dark wavy hair and dark eyes.
The victim's two dogs stayed by his body until it was found by a passer-by among thick nettles and undergrowth.
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One is aged 25 to 30, with tanned skin, was was wearing a grey or blue t-shirt, grey gym shorts and heavy-duty flip flops.
"We want to help Peter's family and the people in the local area to understand what happened", he said.
Norfolk Police has also released a poster appealing for information.
"White man, aged 30 to 50 years old, of a medium build wearing dark coloured clothing".
"We want to talk to you if you have seen Peter walk his dogs in that area or nearby in recent months or weeks but in particular on the day Peter's body was found, Saturday August 5".
Anyone with any information should call The Operation Graduate helplines on 0800 056 0944 or 0207 158 0010.
He added: 'Inquiries are continuing regarding the incident and detectives ask that anyone with information should contact Norfolk Police immediately'.