In any situation, there could be more than one café with the same name in a town. All four of them simply specify the name of the café you visited and its street location. In BrE, we generally add "the" before the name of establishments which have the noun for the type of establishment in.
I went to the Ritz Hotel last year.
I was at the Bystander Café yesterday.
I went to NomNom's on Saturday.