Ex-wife has a fiancée that she has introduced to the minor children. He is currently residing in the house with the children and her. Both children have said that he is living with them.
I believe that you may have almost enough. However, you need to be able to prove that they either are having sex, or that they share household expenses. Sounds funny but, under Georgia statutes and case law, only one of the two is necessary to prove cohabitation for the purpose of termination alimony. You should try to get your proof before filing, because it will be harder to get that proof after she knows that you are seeking to terminate alimony. Your attorney can let you know when your evidence is sufficient.
I am exclusively a family law attorney, practicing primarily in the metro Atlanta, Georgia trial courts. However, I handle appeals from anywhere in Georgia.
Divorce / Separation Lawyer
You may possibly have enough now. Alimony continues until you get a lawyer and get alimony properly ended, so see a lawyer ASAP, as in today.
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Criminal Defense Attorney
Mail delivered to that address, joint bank accounts, utility bills. Judges will probably not take testimony from the children, depending on their ages. You can testify as to his car being in the driveway every night. Photograph his cat in the driveway. Hire a private investigator to conduct surveillance. Talk to your attorney and use your imagination.