When I converted all my accounts to a battle.net login, it allowed me to assign 1 name and address to all of the accounts I imported to the battle.net accounts.

2 of my accounts where My middle name, last name, old address. 3 where first name, last name, current address. When I did the battle.net conversion. I just used First Name, Last Name, current address, and it used this info for the 2 that had old info.