The answer depends on where you are when your baby is born. If the father of your child lives in Oregon and the child is born in Oregon, the Oregon court (in the county where the child is born) would have jurisidiction. After the child is born, you need to file a petition for filiation and determination of custody, parenting time and child support and have the child's father served as soon as possible. If he denies that he is the father of the child, you can move for an order requiring a paternity test which would conclusively determine whether or not he is the father. Once you have the petition filed and served, and he is determined to be the father, he would need to file a motion in order to get any parenting time. For a newborn, that would be a couple of hours of supervised parenting time, probably every other week. Meanwhile, he gets to pay child support. You need to consult with an attorney in Oregon if the child is to be born in Oregon and with a California attorney if you are going to have the child in California. Preferably the lawyer you consult with should be in the county wher the child will be born. If your child is born in California and the father lives in Oregon, you will have a harder time establishing the California court's jurisdiction over custody, parenting time and child support.
Answered on Oct 31st, 2013 at 7:05 AM