My '66 is named Imperial, and my '78 is named New Yorker.
I have never felt the urge to "name" a car. Ever.
In the '70s, my Dad had a '54 CJ-3B Willys. Neat old beater Jeep that I began driving when I was 13, and drove regularly until he sold it before I turned 18. He called it the "kidney killer" because it rode like a, well, a Jeep! So he had me paint that it that space under the windshield, like troops did during WWII and Korea. I'm thinking that was the only vehicle he ever named. And he owned a lot of vehicles over his life.