Looks like Rudbeckia Tiger Eye is a F1 hybrid. Hybrids do not come true to the parent plant. In other words depending on what all was crossed with the original parent will be what the plant looks like. Though it will look nothing like your original plant. You could save the seeds by letting the flower head fade completely and the best way to tell if the seeds are viable is that the stem underneath the flower head will start to brown. The seeds will be found in the flower head itself.

Unfortunately it is an annual. If you like your plant though I am sure someone could give you advice on how to overwinter it. I am not the best at overwintering plants but there are a lot of knowledgeable people on this forum so maybe someone will key in that has that information.