With the exception of very old records, birth and death certificates are maintained by the Indiana Department of Health and your county's Health Department, not the Marion County Clerk's Office.
For Marion County birth and death certificates, contact:
Marion County Health Department3838 N. Rural StreetIndianapolis, IN 46205(317) 221-2400http://marionhealth.org/programs/population-health/vital-records/
For statewide birth and death records, contact:
Indiana State Department of Health2 N. Meridian StreetIndianapolis, IN 46204(317) 233-1325www.in.gov/isdh