Many areas don't require a license to have a photography business, although this is changing rapidly due to legal issues, especially dealing with children.. I do not have a license but have my name as the name of the business and legal papers from court dealings always come with my name and so on such as JSPhotography DBA, even from the local court where everyone knows me because of my work with the papers in the area.

Partly why I use my name is that everyone in the area knows me anyway, but also because my camera puts my name in all files with the Exif info. That just makes tracking things easier.
JS