A little back story; My daughter has a '07 Liberty. Last spring-2019, she called me and said the Lego light was on(battery). I dropped my Jeep off with her and took her's home. The light did not come on. It did not come on fer a while. Then off and on. We leased her a new Civic because she is in college in Florida, we live in Michigan. So, since the Liberty will not be drove that much, I did nothing about it. This year it has been drove a little more. A month ago I had to drive it for about a week because I drowned my Jeep, killing the engine and had another put in. I was driving to work, and it would not shift, then shortly later, it would only idle. Then it died completely. Turn the key, nothing. Got it to work and we put the charger on it. Half way home, the battery light came on again. Now, I had the alternator rebuilt and put a new 800cca battery in it. The battery light is still on. What would cause the battery light to remain on now?