This is the law in Kentucky
Ky. Rev. Stat. 402.020(1)(d) Marriage between members of the same sex is prohibited and void
http://www.lrc.ky.gov/statutes/statute.aspx?id=36466
Such laws are now a dead letter, as laws barring interracial marriage became a dead letter in 1967 with the Loving vs Virginia SCOTUS decision, even without states repealing their anti-miscegenation laws.