The form shall provide for the entering of “The date and place the license is issued, and the signature of the county clerk or deputy clerk issuing the license.” KRS 402.100(1)(c)
KRS 402.110 Marriage license to be uniform and completely filled out. - The form of marriage license prescribed in KRS 402.100 shall be uniform throughout this state, and every license blank shall contain the identical words and figures provided in the form prescribed by that section.
“Rowan County” is not the name of the Rowan County County Clerk. Listing “Rowan County” as the name of the County Clerk is a violation KRS 402.100(1)(c), 402.110.
According to a strict reading of the statute, if it said "Kim Davis", that's a violation too, unless the marriage licenses of every other county in the state say the same thing.