Notary Public Application Checklist. Following is a checklist for completing the Illinois Notary Public Application and surety bond.Obtain an Application Form: Download the notary application from the Ohio Secretary of State's website. Please follow the instructions carefully and fill out all fields, or use the Illinois Notary Application Wizard. First, obtain a criminal record check, current within six months of application. To become an Ohio Notary, you must complete the following steps: Meet the state's requirements. Get a criminal records check. The following instructions are meant to help guide you through the online application. 4) Visit sos.state.oh. Welcome to your step-by-step guide for becoming a notary or renewing your traditional or online notary public commission in Cuyahoga County, Ohio.