You're in luck, no license needed until 16 years of age. Here's the quote and then the URL link:

Resident or nonresident children under the age of 16 may fish without a license. Jr. hunting licenses are required for residents and nonresidents under 16.

Now the URL:

http://fw.ky.gov/nolic.asp?lid=626&NavPath=C128C199

I hope this helps.

Danny