Child support is to be paid to the parent of your child. With the birthing of a child, it may be that your daughter is emancipated. If so, that would allow you to petition the court to terminate support. It may, however, be that she is not emancipated and remains your obligation to support. This is a question best asked of an attorney upon presentation of all relevant facts.
As to her child, the father of that child is subject to statutory support obligations. Depending on the circumstances, there may be other statutory issues facing or awaiting that person. The new born child (the grandchild) would not be added to your support obligation (which is defined by the support order entered which listed the children for whom support is to be paid).
It may be beneficial to all for the grandchild to be placed on your insurance. This may be something that your policy may allow. That is not, however, a matter of mandatory support.
Considering these circumstances, you may wish to bring a copy of your support order to an attorney to see what options to exist under that order. Should you not know such an attorney, a call to your county bar association may be in order. Most bar associations operate a lawyer's referral program to put you in touch with an attorney for a free or reduced fee consultation.
Answered on Oct 11th, 2012 at 6:19 PM