Welcome to your step-by-step guide for becoming a notary or renewing your traditional or online notary public commission in Cuyahoga County, Ohio. The easy answer: Yes, you may notarize out-of-state documents.Notary Application: 1. I have indicated if this is a new commission or a recommission. 2. 4) Visit sos.state.oh. 1. Gather necessary documents including identification and notary bond.