We are considering starting a small sports event photography company
in Kentucky.  My question regards the legality of taking images of
minors at public sporting events.  Does this require parental
permission before the event and/or liabilty insurance requirements? 
We want to conform to all laws and are unaware of Kentucky/US law
regarding this issue.

Hey wes_spencer-ga, how are you doing?

You are responsible for finding an Attorney - you may contact an
attorney or paraleagalist in your state and request for a free 15
minute consultation for your answer. If you are the creator of an
original literary, musical or artistic work, such as a book, song or
photograph, a company such as LegalZoom can help you quickly and
efficiently register it for federal copyright protection.

REFERENCES
LegalZoom, Inc.: Copyright
http://www.legalzoom.com/legalzip/copyrights/copy_procedure.html

Best wishes,