what dogmatique was referring to is: if you allow her to establish residency in Florida and take some sort of legal action concerning custody of the child before you take any action in VA, Florida will then have jurisdiction. Since everybody is a resident of VA, you can file for a custody and support hearing in VA. You can even ask the court require the child be returned to VA.
If you do nothing, the state of Florida will require her to file for child support. Basically, Florida will get to keep it, or most of it so they are very interested in making sure you pay whatever the court orders. You will have no voice in having to pay it but can only contest the amount, if it is incorrectly calculated.

