If you would like to you could, its either his or your decision
The only possible place where you can report about a mistress living with your husband is your bedroom. Here you are missing your husband. Whose fault is this after all? You can't entertain your husband here. He has to go somewhere with a mistress. Please don't report to any external party. Solve this problem yourself. Your husband is after all your husband. The mistress is simply a mistress. I hope you understand the point.
pistol
If your husband has broken off the affair with the mistress then your husband should do the right thing and pay child support, but that does not mean you have to accept the child into the family. If the mistress does not want the child then it is up to you whether you want to help to raise that child. If your husband is still seeing his mistress then pack his bags and kick him out and either file for a separation or divorce.
If you have proof of adultery, you can sue your husband for divorce. In the US, the days of suing a mistress for "alienation of affection" are gone. You cannot obtain a money judgment for emotional damages caused by your husband's infidelity. No judge will order the mistress to pay you.
I takes 2 to tango. Forget the mistress and concern yourself with your marriage and why your husband is sleeping around.
Adultery & Concubinage [Art. 333-334]
he is trying to make his self look good for cheating with mistress
The cast of The Mistress - 2009 includes: Monia Ayachi as Mistress Monika Hummel as Wife Muneesh Sharma as Husband
In most states, under the doctrine of "Election", the wife could file a claim in the husband's estate and receive a share of the value of the property. It is unclear what you mean by joint equitable owners.
Pistol
Actually you can!.
no you cant sorry