Complex sentence: From this point forward, the bourbon would be called "Jim Beam Bourbon" after James Beauregard Beam, and some of the bottle labels bear the statement, "None Genuine Without My Signature" with the signature James B. Beam.
Split into simpler sentences: From this point forward, the bourbon would be called "Jim Beam Bourbon" after James Beauregard Beam. The label of states, "None Genuine Without My Signature" Signed, James B. Beam.