I recently had some problems on my electrical system (Read post on voltage regulator). Vikki was nice enough to provide links to some good wiring diagrams in the thread you may want to check out. The horn relay, regulator, alternator output and battery are all connected via a junction block. The GEN lamp is connected to the Brown wire coming off the voltage regulator. Take a multimeter and check all of your wires and grounds if you can before you change out anything. Make sure the ground between the battery, alternator and regulator is good (Zero Ohms). Another thing to check is the output of the alternator when the car is running using the voltmeter across the battery terminals or looking at a volt gauge in the car if you have one. This may also help indicate if the alternator is having some issues. Otherwise either the alternator or regulator are the likely culprits and are easy and cheap parts to replace, then again there is something to be said for just hitting the horn after you shut off the car and call it a day
The car looks great!I remember looking at it on Ebay when I was searching, I just couldn’t live without getting a convertible and ended up with a red 68 400 about a month ago.