Hi raven1920,
Let me get this straight. You state that the lights come on when the laptop is powered only by the battery on it own, and that if you try to power it up with the adapter attached you get nothing? If that is the case, it sounds like your adapter is the cause of the problem - it is not charging the battery and the battery has insufficient charge in it to do anything else other than power those lights. If you're lucky, the only faulty part will be your adapter - luckily, these are relatively easy to get hold of (many will actually work with different laptops). However, it is possible that you may need to replace the battery if it no longer holds charge. In fact, I would replace both battery and adapter - for details of the model numbers for your battery and adapter, see the battery and adapter themselves.