Head Lights Turn off after 10min

The guys above are on the right track

In a rare instance, the two filaments shorted together in one headlight. this essentially connected both together, and fed power back across the harness up front, so that ALL FOUR filaments were always lit up, causing more current drain.

If the connector and or switch is in poor shape, it makes HEAT. The switch has a built-in circuit breaker, and this HEAT will cause it to cycle. Sometimes the problem is right in the breaker itself, either of which means "a new switch"