Sherri,
Those liatris grow wild here on my property, as do the Florida Paint Brush. They all bloom in September. I haven't collected any seeds, but have tried to move some of them into my flower beds.....no success there, so I just let them grow where they will.
On the other hand, a few years ago I picked up a couple native rudbeckias that now think they own the place. I pull the multitude of extras and just throw them out in the areas of the property I am not caring for. They are all out there blooming now. It's wonderful! You can see one on the right of this picture. Very tall, some of the blooms are showing there.