If you wish to register a trade mark or service mark in Ohio, you must fill out Form 555 and file it with the Secretary of State's Office. We're going to talk about how to file your own trademark application with the united states patent and trademark office.(Ohio Secretary of State) Form for registering a trademark or service mark in the state of Ohio. How to File a Trademark in Ohio? Apply online (TEAS). File a trademark application and other documents online through TEAS. This guide will help you navigate the resources we provide at The Ohio State University Libraries as a Patent and Trademark Resource Center (PTRC). Federal law governs patent rights and the process for obtaining a patent. Home page of the United States Patent and Trademark Office's main web site. Should Ohio inventors file a provisional application for a patent?