In a letter to Health Secretary Jeremy Hunt, CQC leaders David Prior and David Behan said they had taken the decision to publish the names followed fresh legal advice and consideration of comments from the Information Commissioner.
"In light of this further consideration we have come to the view that the overriding public interest in transparency and accountability gives us sufficient grounds to disclose the names of the individuals who were anonymised in the report," they wrote.
"There were four members of staff present when the discussion about deletion occurred: Cynthia Bower, former chief executive, Anna Jefferson, media manager, Jill Finney, former deputy chief executive and Louise Dineley, head of regulatory risk and quality.
"Since the publication of the report we are seeking advice on whether there is any appropriate action that might be taken in relation to the named individuals and will keep you advised of this."
Parents of a baby girl, who died at one-day-old, have said they are "sickened" they were not told of earlier failings at Furness Hospital.
The health watchdog has named the individuals accused of allegedly covering up its failure to investigate at a Cumbria maternity unit.
Cynthia Bower has been named as one of the individuals allegedly involved in the hospital deaths inquiry 'cover-up'.