First I need to know if you are married. If you are he can file for custody in Georgia. At this point, I doubt he could get anything but visitation up here until the child is healthy and a bit older.
If you are not married, he would need to file for legitimation, otherwise he has no rights.
You, however, to have a right to child support under any of these circumstances.
I would be glad to help you and my rates are quite low. 610-999-4502
First of all you haven't said if the two of you are married or not, which makes a huge difference in the answer.
Second, you didn't say if he simply says he wants custody or has actually filed something.
Thus any answer you get here will be incomplete. If he does file anything, get a lawyer IMMEDIATELY. That will be the single most important step you can take and it matters.
If he's not married to you, he has NO rights to the child unless he gets a court to legitimize the child and also gets a court to award him parenting time. If he is married to you he has rights even now.
Bear in mind that the issues will be far more than what happens in the hospital. Decisions for the next 18 years may be made, including support, custody and visitation.
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