“Bail has been denied. We appeal to the Supreme Court.”
Mr Smith added Ms Hartin’s lawyers will be releasing a statement on Tuesday.
On Wednesday, she is expected to be taken from San Pedro to Belize City for remand to prison.
The investigation file has been passed to Cheryl-Lynn Vidal, who is the director of public prosecutions.
Ms Hartin will make her first appearance before San Pedro magistrates but no plea would be taken because it is a lower court.
Piers Morgan responded to the latest developments on Twitter, and wrote: “This is such a weird, fascinating story. So many unanswered questions…”
Police Commissioner Chester C Williams told local media the suspect had avoided making a statement, preferring to await the arrival of her lawyer.
“From what we have been made to understand they were drinking.
“From investigation, they were alone on the pier and yes they were both fully clothed.”
He added Ms Hartin “was somewhat in an emotional state walking herself on the pier.
“We believe that she is to some extent affected by it”.
The police commissioner also paid tribute to his dead colleague, and said: “We are going to give Mr Jemmott the best funeral we possibly can.
“Yes, we’re under financial constraints, I do not know that this should impede us from giving him a funeral that he rightly deserved.”
Mr Jemmott’s sister, Marie Jemmott Tzul, told 7 News Belize television the policeman was the father of five children.
She said the only information her family had received was that Mr Jemmott was with a woman they did not know and that his body was found in the water.
She added that the only information the family had was that he was with a woman they did not know and his body was found in the water.