Should I allow CPS to talk to my children and to come into my home?

If a CPS worker came to your home, it is highly unlikely that there is not an open investigation. She should have provided a document with information regarding the investigation when she visited your house. Based on the information you have provided, you should cooperate with the CPS worker. The best way to get the case resolved and determined to be unsubstantiated is to cooperate and answer the questions. You should allow her to speak with the children. I understand the frustration of having a CPS investigation when there has been no wrongdoing, however the best way to resolve it quickly is to work with the caseworker. If you are concerned that the caseworker may find that the allegations of abuse or neglect to be substantiated, consult a local attorney who specializes in these types of cases.