Vital Records - As introduced, grants discretion to the state registrar to issue a delayed birth certificate upon finding a preponderance of the evidence weighs in favor of an applicant; permits the state registrar to consider documentation such as obituaries and birth or death certificates of the applicant's parents or siblings, property tax records, and certain other documentary evidence that may support the applicant's claimed place of birth. - Amends TCA Title 4; Title 10 and Title 68, Chapter 3.