I have some purple irises that have faithfully rebloomed for me each fall, although this fall they did not since I had to dig them up in August to divide them Don't know what variety they are however as they were some passa long plants from an older friend that has since died. Mine tend to rebloom with no extra help, water, or fertilizer from me.

Picture of the irises when they were starting to get too crowded.

During a recent trip to HD for some bulbs, I chatted with a lovely woman who told of her experiences with a white reblooming iris. I had never heard of such a thing, and was intrigued, to say the least.
I don't currently have 'Immortality' but I bet this was the one to which she referred. I'll have to add it to my collection!
NVdude- That's a pretty one you have there! How refreshing it must be to have iris in the fall! Must do homework to find out which siberians will rebloom. Love yours!

Doing that homework...lookie what I found!

Here is a link that might be useful: Reblooming Iris Society

I also have an unknown purple bearded iris that is very vigorous and reblooms. It seems very similar to the clump shown by the previous poster, although I'm a long ways away! Mine were also a free gift as they're so prolific they have to be divided every 1-2 yrs. No scent though; otherwise they're great.
{{gwi:764622}}

Y'all's photos may be Crimson King, an old re-bloomer (maybe the first) from 1883 or 1893 or some such;
here, it's the first to bloom & it's often the last as well.

It's a deep dark red/purple with a white beard, about 20" tall, & it spreads like a rumor.