The woman asked to have two children, one with her surname, but my parents refused. How can I convince my parents?

This is a sensitive issue and should not be easily persuaded. First of all, you need to know your parents' thoughts and persistence, their worries and worries, and try to communicate with them more deeply. You can express your views and ideas to them, explain why you think this scheme is reasonable and feasible, and have a full discussion with them on this issue. If you encounter difficulties, please ask some more experienced and mature people to give you some advice. Finally, you should always respect your parents' decision, and don't insist on it. I suggest you give them more time to think about it, or try to solve the problem in other ways.