Yes they have a half quarter horse registry. But they have a registry for everything now, which I think is stupid. I saw a registry for half Arab half mustangs a while back.
It's not so much that I want a foal, heck, honestly I don't like having baby animals, as a barrel racer, I'm very competitive and I think bred to a complimentary stud she would throw very competitive foals. I do like to have my competition horse from the time they are very young for the simple reason that I can bring them up and train them the way I want. I agree, there are so many grade horses out tere that aren't as well off. If I can find a reg broodmare of equal or better quality than this mare, then I will not even consider breeding her except for maybe mules, for the simple reason that I do pack trips and what not and a couple mules as easy keeping and massive as this mare is would be priceless as pack mules. But right now, as things stand, I am going to take some of the advice y'all have given me and wait and see if her foals are going to be worth it.
On another note, what if you had one that came out of all registered stock and you knew the bloodlines on her but she just hadn't gotten registered? Would that change anything? Just curious, I don't have one at the time being. I'd really like to get into just pure registered stock someday, but I would want to start with the best I could lay hands on from the start, and that going to cost money so that's a while off.
There is no sport like barrel racing. It requires more speed than a sprinter, more balance than a gymnast, more grace than a dancer, and a stronger team than football.