After the verdict, the McConville family said they were still waiting for the IRA to say it was wrong to label their mother an informer.
The eldest daughter, Helen McKendry, said that until then there would not be any closure for her. "There will be no closure for me until the IRA says they killed an innocent woman and over all the years they have blackened her name."
She said that the evening her mother had been abducted - when she and her brother Arthur, the eldest of the children, had waited in vain for her to be returned - had "haunted me for years and it always will haunt me".
Her brotherMichael, who spoke on behalf of the rest of Jean McConville's sons and daughters, said he would pursue a meeting with the Sinn Féin president, Mr Gerry Adams, in an attempt to clear his mother's name.
"I want him to go to the IRA and say to the IRA what I have said; they owe it to Jean McConville and the McConville family to admit that they killed her in the wrong. They said she was an informer. The evidence proves she was not an informer."
Her husband Arthur had died 11 months before her death and Michael McConville said medical records showed his mother had had a breakdown.
"It has been inflicted on us that our mother was an informer. They are just tearing our mother's name down all the time. It is about time they put it to rest.
"They owe it to Jean McConville and to her family to clear her name. For once in their lives to do something right and turn around and admit it was wrong to kill Jean McConville and what they put her family through over the years was wrong."
He said that he would still campaign for the return of the remains of other people abducted and killed by the IRA.