Labour has reiterated its call for a cross-party approach to fighting child abuse following the death of two-month-old Hinekawa Topia.
Hinekawa, a triplet, died in Wanganui Hospital on Thursday after being taken there by her parents, Tiffany Topia and Tom McGregor.
A post mortem examination revealed the cause of death to be a head injury, which police did not consider accidental.
Detective Senior Sergeant Neil Forlong, who is leading the homicide inquiry, said people should not "leap to conclusions and start pointing the finger prematurely".
Hinekawa had been staying in different homes with members of her extended family before she died, and Mr Forlong said there were a number of people police would be speaking to.