The ADBA says:
"If the parents are not registered then you would need to go back further and all 4 grandparents will need to be registered, and if they arenot registered, then all 8 great grandparents need to be registered. You have to be able to trace your dogs pedigree back to registered dogs. Thereis no other way to get dogs registered with our company."
So looks like I have to get in contact with the owner of the dam and search her pedigree and hope that either all the grandparents or great grandparents are registered with the ADBA.
They also said that they only accept transfers from the AKC and UKC.