The only reason to search the Florence ordinances would be to find any ordinance that is illegal and needs to be removed. If they had such an ordinance, it would be illegal and thus null and void, and unenforceable.
KRS 65.870 essentially prevents any local firearms ordinances other than regulating CONCEALED carry in local government buildings (with strict limitations on the penalties that can be imposed) and ordinances prohibiting the discharge of a firearm for other than legitimate protected defensive purposes. State law prohibits local laws banning open carry. Period. As if that wasn't obvious enough, it's now a lot more obvious after we passed HB 500 in the 2012 Kentucky legislative session. It was signed into law on April 11th, becomes effective July 12th, and the grace period for local governments to come into compliance is six months later, or January 12th 2013.
http://www.lrc.ky.gov/krs/065-00/870.pdf
http://www.lrc.ky.gov/record/12RS/hb500.htm
Basically, it's illegal for local governments to deprive you of the right to bear arms, it'll be even more illegal after July 12th, and after January 12th local officials can be personally charged with official misconduct, a class B misdemeanor ($250 fine and up to six months in jail) or class A misdemeanor ($500 fine and up to a year in jail) depending on the circumstances.
I keep hearing stories of Lexington police telling people that it's illegal to open carry in Fayette County, and anyone wishing to be armed needs to get a permit and carry concealed. If that's true, I hope someone records a police officer saying that. It would be a good opportunity to educate our police and our fellow citizens at large.