It's important to note that there may be specific requirements and procedures to follow in order to ensure your US marriage is recognised in the UK. These may include obtaining certain documents and having them legalised or apostilled, and possibly registering the marriage with the relevant authorities in the UK. You may want to consult with an attorney experienced in international family law or contact the UK government's Foreign, Commonwealth & Development Office (FCDO) for more detailed guidance on the specific requirements and processes involved in having a US marriage recognised in the UK.