Warren,
Since I am not sure just how your head lights are wired I am only making a suggestion. Mine have 3 leads. One for High, one for Low, and one that goes to ground for both headlights. If I lose the ground, I lose both high and low beam. If you have a volt/ohm meter and can get to your leads, check them from the headlights to ground. Best way is with the leads disconnected so you can read the ground lead and you should have a basically zero or like a dead short reading. If so, then you have to start looking at the power leads. If yours is like mine, the fact that you have High beams would tend to say the ground is ok, but you never can say for sure on anything. Good luck.
Ron