The child, Ava Rose Barley, died on Thursday morning while in Moore's care.
A police spokesman, Warrant Officer Tando Sonjica, said the police are awaiting for the results of a postmortem.
Yesterday, Moore, who owns Aunty Dawn's Daycare & Playgroup, in Pinelands, Cape Town, said she had tried to save Ava.
"When I discovered her on the floor I immediately started cardio-pulmonary resuscitation. When the paramedics arrived they continued," said Moore.
Yesterday afternoon, Social Development Minister Patricia de Lille said the facility was not registered.
De Lille said Moore applied for registration in January 2008 and her department sent her a letter of acknowledgement.
"It is deeply regrettable that, in this case, the facility was not registered, even though the applicant started the process to apply for registration in 2008," said De Lille.
"Unregistered partial-care facility owners must understand that they are not allowed to operate unless they have a valid registration certificate from the Department of Social Development."
Moore said that she had applied for registration in 2008.
"And I am still waiting for a response," she said. "I have given letters to all my parents for them to consent to me caring for their children."
De Lille said she has called an emergency meeting to look at how her department could fast-track the registration of partial-care facilities.
"Accidents can happen, whether a place is registered or not. But a parent will have greater peace of mind if a facility is registered because then at least you know it complies with certain norms and standards," said De Lille.
According to family spokesman Marise Lerm, Ava's three-year-old sister has been taken out of Moore's daycare centre.
"The family is still in shock. They are devastated, shattered, by this huge tragedy. They are trying to cope and have support from family and friends. They are still receiving counselling," said Lerm.
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