
Although there doesn't appear to be a Kentucky Nip website, it is allegedly made by White Rock beverages, who make Sioux City Sasparilla, among others, and it is available from bluedogbeverages.com.
Also found this review from bevnet:
"Kentucky Nip is one of the smoothest, most easy sipping cherry flavored sodas that we have ever tasted here at The BevNET. Actually, it is much more than just a cherry flavored soda. Kentucky Nip has natural raspberry and mint flavors as well. This gives it an even more sophisticated taste. A highly recommended beverage."