Overheating is a serious issue. I would not advise driving it and instead having it towed it into your local auto repair shop. It could be something simple (belt or pulley) or something much more serious, but whenever you deal with overheating, it's best to play it safe.
Joyce, it sounds like you have two separate issues going on with your Dodge Durango. You need to have your battery / charging system tested. This will let you know if it is the battery &/or alternator that is the problem.
Also, you never want your vehicle to overheat. This could damage the engine to the point that it would need to be replaced.
I would recommend you have your vehicle towed to your regular professional auto technician. They can do a couple of tests to tell you the reason why the vehicle is overheating & why the battery light is coming on.
〉 Answered on Sep 4th, 2013 by Amy Mattinat, Owner and Author at Auto Craftsmen Ltd
I would start with checking the belt on the vehicle, and the belt tensioner as well. Also make sure that both battery terminals are tight.
If the belt and the tensioner are in good shape, I would recommend towing the vehicle to a good repair shop (overheating will cause severe and permanent engine damage.)
〉 Answered on Sep 4th, 2013 by Helaine Kurot, Owner/Technician at 360 Automotive
It could be an alternator or alternator belt that's causing your light to come on. That belt may also turn your water pump which could cause it to over heat if there is a problem.
There may also be 2 separate problems. I would start with the battery light first.
〉 Answered on Sep 4th, 2013 by Lori Johnson, Owner and Instructor at Ladies Start Your Engines