Jefferson County, KY Tax on Self-employment

Hello,

My spouse had a remote contract job last year (2022), which I believe is considered a self-employment (we received a 1099-NEC). Around $3K of that 1099-NEC was received when we lived in Louisville, KY. After that, we moved to another state. Do we need to file and pay any taxes for that self-employment to Jefferson County, KY?