2004 Chevy Corvette HEADLAMP DOORS

Disconnect the headlamp door control module.
Using a test lamp connected to ground, probe the inoperative headlamp door motor fused battery positive voltage supply circuit.
Turn the ignition to the ON position.
Turn the headlamps ON. If the test lamp doesnt light check for a short to ground on that circuit, if it does light, Test the inoperative headlamp door assembly motor up and down circuits for a short to ground, short to battery positive voltage or an open. If not it could be many things, possible headlamp control module. Sounds like a circuit problem, post back with what you find.