The Inspiron 1525 and 1526 use USB Ports and DC Power Jack housed on a separate sub board which is connected to motherboard this may be the cause of the problem.
www.info-info.co.uk, December 2009
try another battery if possible, or try your battery in another laptop,of the same type, make and model, to verify your battery will take a charge. then all esle fails look eslewhere for btoken connections