If you own a small business and are the sole proprietor, you will list both your name and the name of your business on your court papers. Generally, a sole proprietor must appear personally at the court hearing.
Does your business use a fictitious name? Most states require companies that use a fictitious name (such as Tasty Donut Shop) to file a declaration stating that you have properly executed, filed, and published a fictitious business name statement as required by your state's law. Check with the small claims clerk.