I am trying to find the location of the fuses for the brake lights on a 2006 Chevy Cobalt sedan

{: ) The stop lamp switch controls the on/off function of the stop lamps including the center high-mounted stop lamp( CHMSL). The stop lamp switch get its power from the Body Control Module (BCM). This power is also fused but is internal to the BCM. You need to check carefully the voltages at the stop lamp switch and its on/off function. If voltage is not present at the stoplamp switch, you can check the C4 connector(light gray in color) at the BCM if there is some loose connection. Otherwise the BCM may not be giving an output voltage and will need to be repaired/replaced. I hope the problem is not caused by the BCM.