This is how Rush's situation broke into public view. However there has been no evidence presented to indicate that the maid's allegations were cooberated in any way. There are charges from Rush's attorney that the maid was blackmailing Rush. The States Attorney has turned his investigation in several direction looking for something to get Rush on.
In a normal investigation, the authorities examine evidence to find who committed a crime. In this case, they have devolved to the point of examining evidence to find a crime. Indications are that they aren't finding one.