"It's important for the community to know who they should really fear and for the family to receive fair justice for Connor," the page says.
More than 14,000 people have signed up.
At the defendant's last appearance Ms Dyhrberg entered a not guilty plea on behalf of her client to the obvious disgust of the Morris family.
She asked for his name to be kept out from the public eye because of significant danger to him and his family.
However, Justice Brewer said most people in the community already knew the alleged killer's name.
The secrecy around the identity of the accused frustrated the Morris family, who stormed out of the High Court led by the victim's father Chris.
Mr Morris, 26, suffered a fatal head injury during a confrontation outside a party in the West Auckland suburb of Massey just over a month ago.
He was held by Ms Elder-Holmes, his partner of six years, as he lay dying.
A four-week trial has been scheduled for August next year.