It's not really confusing. Most people from other countries can cope with the fact that there is a city called Washington, and also a state with the same name.
Names will get duplicated (or more) over a period of time. We (in UK) can cope with several towns/cities called Newport even within the one country. (Newport Gwent, Newport Isle of Wight, Newport Pembrokeshire etc. )
What confuses us is to see in films where the scene of the action changes and the Eiffel Tower appears with a label "Paris, France", or Buckingham Palace with a label "London, England". Is it really necessary to give the country names? (yes, I know that there's a "Paris, Texas" but the change of scenery should make the disambiguation unnecessary).