newer high end brand LEDs can give out usable light down to 0.1ma. The trick is having a reflector and night adjusted eyes. You should try direct driving an LED off 2 nimh batteries and see how long and low it goes before unusable.I am not sure that you can get visible light out of an LED with only
1/4 of a mA drive.
How are you measuring the current draw to the LED?
Curt