The person who found the child was not believed to have been a school leaver and no link between the child's death and schoolies celebrations had been found, police said.
The child's father, a 48-year-old homeless man, will face an extradition hearing in Southport Magistrates Court today.
"Why was the baby left with the parents - just why?"
At night, the resident told the Gold Coast Bulletin, the infant could be heard crying.
Insp Hogan said it appeared the girl had been in the water, but there were no obvious wounds or injuries.
Local police have confirmed that they were able to establish that the baby died across the border in NSW but at this stage have not provided any further details.
Queensland police expect to receive the results of an autopsy on the baby on Tuesday.
The baby's father had been known to Gold Coast welfare service agencies and police for more than a year.
Police investigators yesterday were questioning the parents as they attempted to build a profile of the couple's movements.
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"We want to know how the child got there". They had been referred to Child Safety.
"I've had people say I had no idea there's homeless people". He described the area as "not a typical crime scene".
Detective Inspector Marc Hogan speaks to the media during a police press conference on the Gold Coast about the police probe into the death of an infant at Surfers Paradise overnight.
The baby's body is believed to have drifted in the current for two days before washing ashore at the hugely popular tourist beach city of Surfers Paradise. I don't know how long for. "We said "hello" and stuff like that", he said.
Detectives from the Logan Child Protection and Investigation Unit as well as homicide detectives are investigating.
The baby was found less than a kilometre from the main party precinct for schoolies revellers.
A total of 13,188 teenagers made their way to the first night of the annual end-of-year event this weekend and 22,000 graduates are expected to visit the popular holiday spot this week.
Detectives are checking CCTV footage in the hope the couple and child may have been caught on camera.