The Cuyahoga County Clerk of Courts is an authorized Passport Acceptance Facility and accepts passport applications on behalf of the US Department of State. Application form DS-11: This form should be filled out but not signed until you submit it at the post office.Get Your US Passport in 3 Days. Every Cuyahoga County Public Library branch is an official Passport Acceptance Facility for the U.S. Department of State. The usual time it takes to process a passport application at the CUYAHOGA CTY PUBLIC LIBRARY BROOKLYN BRANCH ranges from 9 to 13 weeks. Appointments should be scheduled online.