But all you have to do is take your new pup to a park with a lot of dog walkers and you will find dozens of "experts" define her genealogy for you, at no charge! :W
As a side note, a lot of people move to Calif and then find their lifestyle cramped by the dog they brought with them. Sooo, I've noticed a fair number of people who got a beautiful example of some rare breed at the animal shelter. Usually, the staff there had told them it was a mutt but research (and tips from other dog walkers) revealed the truth. :B