Joanne Hayes and her family have filed legal actions against the Garda Commissioner, the DPP, the Minister for Justice, Attorney General and the State.
The website of the Courts Service shows that four writs have been filed in the names of Ms Hayes and her three siblings against the Garda Commissioner and the other entities.
Last year, the gardaí apologised to Joanne Hayes and her family for wrongfully implicating them in the death of a baby who was found in Cahersiveen in April 1984.
The Taoiseach and the Minister for Justice also apologised and talks began regarding the payment of compensation to the family.
However, no compensation has been paid and there are reports that the State is insisting any agreement must contain no admission of liability on its part, that the terms of the deal would have to be secret and that there would be no future legal actions.
Separately, gardaí have said they are investigating many lines of inquiry in their probe into the circumstances that led to the murder of the infant, called John, who was found on White Strand, Cahersiveen almost 35 years ago.
Last week, the Daily Mail reported that the family of a Dutch woman who died in Kerry shortly after the discovery of the child’s body has offered to provide DNA samples to help with the investigation.
The child’s parents have never been identified.
Gardaí wouldn’t comment but indicated that they are continuing to pursue many lines of inquiry.