Oh, the Sims 1. I remember vaguely that I have played that, too, and I remember that I mostly had a Timon sim around, named after the animal I don't know the English term for (in Dutch it is called a stokstaartje or meerkat, which means sticktail or lakecat) from the Lion King.
Mostly I didn't know a proper last name, but then I've found out you don't realy have to apply one (in the CAS from The Sims 1). When you hold your mouse over the field where the last name should be put, click on that so a letter from the keyboard can be put in, hover with your mouse over the Done button, and than quicly press spacebar and leftclick with the mouse at the same time on done. This will turn your lastname in the hidden lastname: Spacebar. But because you can't see a spacebar of coure, the name will be invisible. To bad this don't work naymore with The Sims 2 and 3.
But Disney names for sims will still work sometimes, although it could be hard to make them look like the original character.