Those databases, Virginia, Bureau of Vital Statistics, County Marriage Registers, 1853-1935 and Virginia, Bureau of Vital Statistics, Death Records, 1853-1912, are part of the Historical Record Collections at FamilySearch. Both collections contain records and images from various counties in Virginia. In the case of the marriages, the records were turned over to the county clerks by those who performed the marriages. The clerks then sent the records to the state auditor who preserved them. Both databases are wonderful collections of very informative records. The originals are in the custody of the Virginia State Library in Richmond. 

Below, are examples from the various collections. The first, is the marriage record for the marriage of Sydney S. Cohen and his wife Bessie Flax. The second and third, are the death records of two sons of Meyer Cohen and his wife Esther Michael. Those boys, Maxie and Sidney, both taken by accidental drowning.

As more records become available, these collections should continue to grow.