I'm not a lawyer, but I'm going through a similar situation myself. I have 2 children by my ex husband. He gets a specific amount, then there are benefits for the children. If there is more than one child, the money is split up evenly between the children. Everyone on SSD gets benefits for their dependents. I believe it would be worth your time and money to hire an attorney. I'm not sure about Georgia, but my state has a program where low income families can get free or low cost legal representation.
To apply one national legal system as against another may never be an entirely satisfactory approach. The parties' interests may always be better protected by applying a law conceived with international realities in mind. The Hague Conference on Private International Law is a treaty organisation that oversees conventions designed to develop a uniform system. The deliberations of the conference have recently been the subject of controversy over the extent of cross-border jurisdiction on electronic commerce and defamation issues. There is a general recognition that there is a need for an international law of contracts: for example, many nations have ratified the Vienna Convention on the International Sale of Goods, the Rome Convention on the Law Applicable to Contractual Obligations offers less specialised uniformity, and there is support for the UNIDROIT Principles of International Commercial Contracts, a private restatement, all of which represent continuing efforts to produce international standards as the internet and other technologies encourage ever more interstate commerce. But other branches of the law are less well served and the dominant trend remains the role of the forum law rather than a supranational system for Conflict purposes. Even the EU, which has institutions capable of creating uniform rules with direct effect, has failed to produce a universal system for the common market. Nevertheless, the Treaty of Amsterdam does confer authority on the Community's institutions to legislate by Council Regulation in this area with supranational effect. Article 177 would give the Court of Justice jurisdiction to interpret and apply their principles so, if the political will arises, uniformity may gradually emerge in letter. Whether the domestic courts of the Member States would be consistent in applying those letters is speculative.