I see the Lady Bird Johnson website shows Rudbeckia hirta var. pulcherrima with some photos with the spots on the petals... It seems to be the only website that does though...

Here is a link that might be useful: Lady Bird Johnson R. hirta var. pulcherrima

To be truthfully honest, these days I'm getting the feeling that the names of some of the newer perennials coming out are the breeding groups and not cultivated variety name. For instance I have an origami columbine that I thought was going to be light blue spurred and blue cupped. One of the plants in the pot is and another is yellow with orange spurs. I've also seen Indian Summer BES's that are like indian blankets and not like the two described above. The oddity looks like a BES and a mexican hat.

On related note to composite flowers, I found a mexican hat that has all yellow ray flowers with not a hint of black spotting.