"The kids are at school and they're getting told 'your mother's a murderer'. They ended up having a fight at school over it."
The children's grandmother, who is their caregiver, has also been on the receiving end of abuse about her daughter, Ms Tua said.
The publicity had been devastating for the whānau, and they should have had a chance to ask for name suppression before the coroner's findings were publicly released she believed.
Coronial staff have apologised for forgetting to notify the baby's grandmother before the report came out.
They said the report was sent to the baby's mother and father at separate addresses, but the father's letter came back unclaimed.
Mrs Tua said the mother did not receive the report.
"They knew the nana was the caregiver, she was the main person in this to be notified and they had her phone number and address - and she wasn't given a chance to comment."
The family was looking at their legal options, but could not afford a lawyer, Ms Tua said.
Coronial staff said because the case was officially closed the coroner could not offer further comment.
- RNZ