Long-haired homeless man accused of bashing Courtney Herron, 25, to death in ...

The 27-year-old man charged with the murder of a young homeless woman over the weekend has a 'possible delusional disorder' and ADHD, a court heard. 

Henry Hammond, who is also homeless, is accused of killing Courtney Herron, 25. The young woman's body was found by dog walkers in a park about 9.30am on Saturday. 

Hammond appeared in court on Monday, with no shoes on and a smile on his face.  He will remain in custody until his next court appearance in September.

The court heard he also had a possible autism spectrum disorder and had been prescribed ritalin for his ADHD. 

He was clean-shaven and had shoulder-length brown hair, and simply nodded when he was told he would be held in custody until his next court appearance in September. 

Prosecutor Madeleine Sargent originally asked for up to four months for police to put together their brief of evidence against Hammond.

A pathology report is still to be completed and officers are reviewing CCTV footage.

Magistrate Donna Bakos said police could have until August 5 to prepare the documents and ordered Hammond, of no fixed address, be remanded in custody until a committal mention on September 16.

Hammond was arrested on Sunday and charged overnight with one count of murder, police said. 

In the hours before her death, the woman had tried to phone her ex-boyfriend, Terrick Edwards, but he missed the call, his sister Nindara Edwards Norris told The Age on Sunday. 

Ms Norris said her brother was upset 'for not being able to offer her a safe place for the night'. 

'Our families are all still in shock and my brother is struggling to process this as he missed her call Friday and now feels so terrible,' she said.

Ms Norris said her brother would want Ms Herron to be remembered as a lovely woman, and not just another homeless person who died on the streets. 

She said Ms Herron came from a close Greek-Australian family and had a brother and sister.

Mr Edwards and Ms Herron, who used to work for a government department, had lived together before they split four years ago, she said. 

There is no suggestion Mr Edwards had any involvement in Ms Herron's death.  

 A friend of Ms Herron from high school, Matt Walsh, told the paper she was one of the most kind-hearted people he knew. 

'[She was] always smiling and joking, trying to make herself and others happy. That's how I'll remember her. She should be remembered by her smile because you would see it every day without fail,' he said.   

'Breaks my heart that we live in such a f***ed up world, nobody deserves this. It was a pleasure knowing you; even not seeing you in years,' another friend Jadee Craggles posted on Facebook. 

Dog walkers found Ms Herron's body near a group of logs under a tree at Melbourne's Royal Park on Saturday morning.

Homicide squad Detective Inspector Andrew Stamper said extreme violence was inflicted on Ms Herron.

'The level of violence involved here was extreme in my view,' he told reporters on Sunday.

'This was a particularly, particularly horrendous attack.'

Investigators believe Ms Herron was bashed just hours before her body was found about 9.25am on Saturday.   

Inspector Stamper said the attacker did try and conceal the body and there was no evidence as yet that it was a sexually motivated crime or if a weapon was used.

Ms Herron had been couch surfing and sleeping rough for some time while struggling with drug and mental health issues, Inspector Stamper said.

The last confirmed sighting of her was on May 14 at St Albans when she came into contact with the police.

Her family have been told of her death.