I went in and they handed me the birth certificate after I supplied the documents and paid for it
That depends on the return service that you select (i.e standard USPS snail mail, or next day UPS). It'll also depend on whether you provide the correct identification verification documents. For more information make sure to go to the official website for Oregon Vital Records at https://www.oregon.gov/oha/ph/birthdeathcertificates/getvitalrecords/pages/index.aspx
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