I sent an email and got the following reply. Thanks to everyone for their assistance.
I would need names (groom name and brides maiden name if you have it) and approximate dates to look for marriage licenses. On the birth and death records we do not have any prior to 1881. We have 1881&82, 1908-1912, 1925-1938. They were recorded in books. Prior to 1914 we were not required to keep them. I have some other records earlier such as wills and probate or court records. You can email me a list and I will check the records and let you know the cost to get copies. Thank you, Jackie Glenn, Blount County Records Manager & Archivist