Cuyahoga County Common Pleas Court. When someone is arrested, where do they go and how do I get in touch with them?Contact the Cuyahoga County Jail booking desk at (216) 698-4820. This process entails fingerprinting, mugshots, checking for outstanding warrants, and entering the arrestee's personal information into the computer system. Find data on incarcerated individuals who are currently serving time in an Ohio prison, currently under department supervision, or judicially released. Org or call (216) 664-4790 during normal operating hours. Cuyahoga County Jail Visitor Registration - Run Background Checks Online Here Now. Jail-time credit is the part of your sentence that you have already served before you arrived at the. Department of Rehabilitation and Correction (DRC). Time spent in a county jail serving an unrelated misdemeanor sentence.