When two businesses happen to have the same name, and, of all the unfortunate coincidences, they are selling similar products or services, it is a most confusing condition indeed.
Trademark law exists, primarily, to protect the public from confusing the products or services of one entity with another. When you trademark your business name, you are gaining the exclusive right to use it – All other users will be barred, as you have the right of priority.
For this reason – Register a trademark! It does not have to be a musterious process. Indeed, the steps to accomplish this can seem convoluted to the untrained eye: This is the reason why books like this exist: D-I-Y Apply for a Trademark Without a Lawyer.

We thought to help you along in your quest for business domination by providing you with the steps to accomplishing a unique name for yourself in the world of business via trademark.
The book is available in Kindle format on Amazon, and written in easy to understand language that anyone can follow to register their trademark.