Could the foal be registered? and as what?

Okay, so I plan on buying my favorite horse this spring, but the downside is that they bred her.... Nonetheless, I still want her and the baby (I have had the opportunity to work around a bunch of babies and help train them). The mare, Zippy, is a quarter horse/paint cross (as most are) and is a registered solid bay paint. The stallion (who I really don't like.. he's calm and nice, but ugly in my opinion..) is a registered bay thoroughbred.

I tried reading the registries websites for the Jockey Club, APHA, AQHA and I don't understand it 100% and I was wondering if the foal (assuming it will live) could be registered under any of those registries, or any other registries. I would just prefer the foal to be registered, I guess it's a little bit of my OCD coming out.

Here are their pedigrees:
Zip N My Pocket Paint
Breeze On Horse Pedigree

And pictures:
Zippy - 11-29-11 (Btw, her head isn't as tiny as it looks)


Breeze - 3-21-10 To me he just isn't my "cup of tea"

If the stallion is listed with the APHA (On record with them for breeding purposes) the resulting foal can be indeed be registered APHA.

But, you need to have lots of signatures! Previous owners (the ones that bred her) stallion owners if they are different then mare owners. That can be the most difficult part in most cases.
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It would be difficult because even though they are both registered, they are different breeds, only some breed registeries can have a certain other breed in them to qualify.

American Appendix Horse Association

From the front page of the APHA website:


To be eligible for registry, a Paint's sire and dam must be registered with the American Paint Horse Association, the American Quarter Horse Association, or the Jockey Club (Thoroughbreds). At least one parent must be a registered American Paint Horse.

The mare is registered in with association? APHA or AQHA? Either one allows a cross with a TB. Of course I am assuming a stallion report was filed, and you have a breeders' cert?