
Yes the first one is the affix(now called Kennel Name) is of the breeder. Ones you see after is the Affix of the person whom bought the puppy.
So if I buy a puppy, I can put my affix on the end of the puppy's name.
To add my affix there are a number of 'bit's I can use....at, for, of, along with many others to help it make a bit of sense...for instance
Breeder Affix Doggie Moggie at New Owners Affix(obviously a made up name...lol)
Hope that helps