[villagetinker]

OP, give me a call, send a PM so we can get together.

If I read your post correctly, it sounds like you have 2 LED lights. I am GUESSING that there is a wiring issue. I have seen situations where the switch opened the NEUTRAL wire and NOT the HOT wire. If there are surge suppression capacitors in the lights, these can provide a leakage path with enough voltage to cause the lights to come on dimly.

In any case, I would go over all of the wiring from the circuit breaker to the lights. Also of there are any switched outlets on this circuit, unplug any devices that are plugged in and see if this changes the lights. Also, using a quality voltmeter, check the voltages to GROUND with the switch turned OFF on all of the devices connected on this circuit.