Loss of Power when Furnace Blower Shuts Down??? Help!!!

Thank you to everyone!!! We replaced the batteries (they were a couple years old anyway) and when my husband went to take them out, the connectors were completely loose. So I'm sure that had a lot to do with it. Better safe than sorry when we dip below freezing tomorrow, so batteries were replaced to be sure. Everything is working great now and I so appreciate your help!!!!