I suspect she is sincere, but misguided. The whole situation is a clusterfick on all sides.
By all sides, do you mean only her side?
The only "solution" to this they have come up with is to send her to jail and hope she caves, meanwhile people still can't get their marriage licenses. There is a problem of governance here, you'd think someone would have realized something like this could become an issue.
She should resign from her position ... but what is the unemployment rate in her county I wonder? May explain in part why she hasn't.