Ms Carroll said it was too soon to discuss the case in detail.
But she was looking forward to the "eight-year nightmare coming to a fair and accurate conclusion at some stage in the near future".
Her lawyer, Garth Gallaway, said the claim for judicial review "was seeking to have the findings that Julia, Bobbie and Henry contributed to Iraena's death quashed".
"The basis for the proceeding is that they allege a breach of natural justice," he said. "They were not told that the police would be critical of them. The police officer who gave evidence said he believed that they contributed to Iraena's death - they had no notice of this, no opportunity to question the police and make submissions on this point.
"It is also alleged that the coroner failed to give notice to Julia, Bobbie and Henry that he would make adverse comment against them. Where a coroner makes adverse comment, he or she is required to advise a party and seek comment before making such a comment."
After the claim was filed, the police asked the court if they could be joined as a respondent or second defendant - meaning they are on the side of the coroner. A hearing date will be set after all parties have had a chance to submit claim and defence information. A hearing is unlikely until next year.
Ms Woodhouse and her son were driving home when they found Ms Asher wandering in her underwear, scared and confused. They took her to their home and, with Ms Carroll, spent four hours comforting her.
They said they twice discussed calling the police. Each time Ms Asher became agitated and begged them not to; she said she had called the police already but they were not interested.
The couple considered their options and decided that keeping the young woman safe and warm inside was better than having her bolt into the cold stormy night - which they thought was bound to happen if they called 111.
They were not expecting Mr Ryan to deliver such a critical finding at the inquest and were angry that he did not direct any blame at other people who had seen Ms Asher behaving strangely that night.
A Ministry of Justice spokesman said Mr Ryan would not comment. Police also declined to speak about the case.