A trust can have almost any name. If the trust is to be operated as a business, it would be a good idea to have the name reflect the type of business. For example, you wouldn't want to name a trust "Joe's Drug Store" if the trust was designed to sell nails. You should not, of course, give the trust a name that is already being used by an existing business. For example, you would not want to name a trust "General Electric" as that name is already taken. You would not want to name the trust the same as a local business, either.
As a general rule, a trust name should not include "Association", "Incorporated", "Limited", or other terms that have specific legal meanings in statutory law.
A trust which will need a checking account should not include the word "Foundation" in the name. For some reason, banks don't like to open accounts for foundations.
Copyright at Common Law, West El Paso Information Network, 1998