In Colorado, until a divorce is filed, both parents have the independent right to travel with the children within the United States, and that includes making the decision to move to another state.
Once a divorce case is filed and served on the other party, then there is an automatic injunction against both parents that prohibits anyone from taking the children out of the state unless they have written permission from the other party or a court order.
As we discussed in earlier threads, unlike some other states, Colorado won't put a geographical restriction on the child's residence. During the divorce case, the parties may express an intent to move out of state with the child, and then the Court has to decide which parent should have the primary residence, considering the child's best interest. In other words, the Court wouldn't prohibit SW from moving to NC; however, the Court may rule that the children remain with the Father.
In this case, I feel pretty confident (but it's never 100%) that SW would be able to take the kids to NC if she wanted to move there. Then CW would have to option to stay in Colorado and see the kids on holidays and in the summer, or move to NC to be closer and get more parenting time with the children.
There is a separate procedure called "relocation" that applies when both parents live in Colorado when the divorce is finalized, and then one parent later decides they want to move out of state. And that's beyond the facts of this case.