The Sevier County Archives contains all records generated by the county offices, with records that date to 1856.  A courthouse fire destroyed most records before that time.

Can you make copies?  
Yes, copies are .15 per page.

Can you certify a document?  
No,  The actual court in which the record was produced can do that.

Links to Vital Statistics and TSLA.  

Tennessee Office of Vital Records
421 Fifth Ave. North
Nashville, Tn.  37243

Tennessee State Library and Archives
403 Seventh Ave. North
Nashville, Tn.  37243-0312
Brad Cannon - Director
126 West Bruce Street
Sevierville, TN 37862
Voice:  865-774-3627
Fax:  865-774-3688