Labour leader Ed Miliband says his party will look today at the details of planned inquiries into alleged child sex abuse and would only support them if they were "sufficiently comprehensive".
Mr Miliband the government for being "slow and piecemeal" in response to the claims and said: "Frankly the appalling examples of child sexual abuse that we have seen must never be allowed to happen again."
He said no allegations relating to Labour figures had been brought to his attention, but added: "If there are any allegations then that should be properly investigated by the police."
The Baroness says she did not consider the "difficulties" caused by her background and family connections to the child sex abuse inquiry.
Questions have been raised of former High Court judge Baroness Butler-Sloss since her appointment last week.
22 police officers are now assigned to Operation Fernbridge - the probe into claims of a Westminster cover-up of sex child abuse.