I know several people who use a kennel name when they ILP their rescues. This way anyone who sees the name knows they belong to those people.
Registered names can be quite an art and some breeder's registered names tell you a whole lot about the dog if you know the hints they put into their names.
Some examples, many breeders will use Ti in a name to represent that the dog is tri colored such as Zuri's Ti-Tanza Wazi Ajabu or Cambria's Ti-Mungai. Shirley Chambers of Khajah basenjis used the word Gay in the names of all of her red and white basenijs. So you never had to see a picture of Khajah's Gay Excalibur or Khajah's Gay Samantha to know that they were red and white basenjis. L Jane Williams of Candu basenjis uses the word Blacque in the names of all of her black and whites, like Candu Berimo Blacque Jade and Candu's Back in the Blacque.