I'm Doug, and I'm sorry to hear of the confusion. My goal is to provide you with excellent service today.
Yes, it sounds perfectly correct. Under state child support laws, when a child is born to a minor whose parents are still legally responsible for that minor, each of the minor's parents are liable for the support of the grandchild until the minor-mother turns 18 or is otherwise emancipated.
In this instance, because you and the paternal grandfather supposedly are to have 50/50 custody, the court would not typically award support be paid as between the two of you. However, if the paternal grandfather is divorced, he would be eligible to seek a share of the cost of raising his grandchild from his ex---the paternal grandmother.
I understand that is sounds rather bizarre, and it rarely works out this way----but it does happen and is entirely in line with parental obligations for minor children.
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I wish you and yours the best in 2015,