1999 Chrysler 300 Gauge Lights

I recently purchased a 1999 Chrysler 300M from a family member. They purchased it new and I know that it has been taken care of well. The one concern that I do have is, it gets cold here and at night when I turn on the head lights, the lights behind the spedometer and fuel gage and all the gauges dont light up. The clock in the center of the dash lights up along with the radio lights. I drove it across town and turned it off for 15-20 minutes, then got back in and turned on the head lights and the lights behind the gauges worked! I would appreciate some help on how to get the lights to work ALL the time. Can you help me?