Can she legally take our children back or must she remain here until maintenance and support issues are settled and divorce is final?

She may not move the children until she has done what is required under the relocation act (give written notice per the act) and the father has had a chance to respond. If he objects, the court has to give her permission to move the children before she can move them. Maintenance and support have nothing to do with it. Filing is only step one of the case. She needs to get a temporary parenting plan and temporary child support order in place. She can make a motion to get these and ask to be permitted to move in the same motion.