"As much as I don't want to be posting this, my beautiful girls funeral is on Saturday, please share I'd love to see ambers [sic] friends celebrating her life," Lisa Ann said in the post.
"She was taken from us when her beautiful life was just beginning, but he cannot take the amazing memories and impact she has had in her 16 years on earth, and he will never have her soul, she is forever with me, my soulmate, best friend, daughter, love u baby girl xxxxx."
The 16-year-old was found dead at a Clermiston Ave house, in Dunedin last Saturday morning, and a 30-year-old medical professional was charged with killing her.
He was granted interim name suppression and remanded in custody by consent until he appears in the High Court on February 20.
Miss Rush was well known in the community and tributes have been flooding in from family and friends.
Friend Neisha Mauger said on a tribute page that Miss Rush was "such a bubbly person''.
"Whenever you were sad or upset, she would have your back 100%. Amber was well known for her amazing personality.''
Amber's mother, Lisa Ann, said on Facebook her daughter's death had "killed her entire life".
"How do I put into words what u mean to me my baby girl, u are literally my other half, my soul, my heart, my everything," she wrote.
Emergency services have been spotted searching a Dunedin quarry as part of the investigation into the death of Amber-Rose.
Police were photographed prodding the ground in the pond at Blackhead Quarry with sticks.
The quarry is 4km from Amber-Rose's Clermiston Ave home.
Earlier this week police issued a call for anyone who may have been in the Quarry or beach area between 11.30pm on Friday, February 2 and 12.30am on Saturday, February 3, to get in touch with them.
"In particular, police would like to speak to the occupants of a black Toyota Camry that was in the car park near the pond around this time, and may have witnessed something," Detective Senior Sergeant Rob Hanna said.