“Brown-eyed susan” is somewhat meaningless as there are numerous species that can be referred to by that common name. This is Rudbeckia hirta but I’m not sure if it can be pegged as a specific cultivar.

Know that Rudbeckia hirta is not perennial where I am. Maybe it will self-sow for you and you get some next year, too.

Brown Eyed Susan refers to Rudbeckia triloba specifically. Black Eyed Susan is the common name for all Rudbckia species, including R. triloba that's not yet identified.

Yes, Rudbeckia hirta, a biannual, sometimes a mere annual for folks with winter wet conditions, does tend to seed out to become a permanent resident.

What you have is not Rudbeckia triloba a.k.a. brown-eyed Susan, which is a terrific though short-lived perennial. The pictured plant looks more like R. hirta or one of the cultivars derived from it.