As far as I understand it if I started a business today it would have to be
"Robert K. Badger" Electrician
Without changing the info on my license it can not be "Robert K Badger Electrical Service"
link and you will see my boss's license info, as you can see it also list the company he holds the license for.
Don't forget everything you put your name on has to include you license class (A, B or C) and your number.
It's all about consumer protection, the board wants to be able to find you when (or if) someone complains.