You can test your charger under load if you have some 10W ceramic resisters, the kind used in thermostats ( they look like a white block with wire leads coming from each end. ) place one end of the resister lead on your negative side of the charging dc barrel plug and the other end of the resister to the negative post of your multimeter. and the other positive post of the multimeter in the middle of the barrel connector. then place your multimeter to read amperage. look at the big square part of the adapter and read the label on the back. it will show the amperage level it can produce, next look at your battery and see its charging amperage draw. compare the draw to the reading on your multimeter.
Check the charging circuit in the motherboard, testing voltages along the way from the charging port to the battery terminals. Test for continuity on the charging port to the point it connects to the ciruit board, do this for the physical battery connector too. If the circuit is connected fully then check your capacitors first as they are the first to go out. Look for swollen caps or bulges. If they are metal test the connection points with a multi-meter, then check the resistors, and finally test the voltage regulator as this will burn out if the resistors or capacitors go bad.
Please send me your full CF-29 model number so I can post a picture of your charging circuit