Yes, There are multiple Springfield in Wisconsin, multiple Madison in Pennsylvania and multiple Clinton in New York. These are some of the examples I remember. And yes it is annoying if you live in one of these towns.

Many US states are larger than many European countries.

Okay but how do you agree in which Springsteen, Wisconsin to meet? How do you tell your favorite navigation software where you're going to be departing from? How is this disambiguated if not by country and state combined?

I assume by zip code.

Or drop a pin.