Nintendo DS Lite Console "red battery light staying 2007" Questions

...red charging light stays on for a second then goes out. When it is NOT plugged in, no lights come on, even when you turn it on. It was not dropped or damaged. It worked last night but this morning it ...

...red light just goes on for a second then shuts off, just like it does with the house charger. How can I check to see if the battery will not accept a charge? I took it out and cleaned it like the ...