1) She said it's a new battery
2) I checked the adapter and it's showing a steady 19.xx V
3) I got it down to the motherboard and the jack is good because I did continuity and plugged in the power and put the leads on the solder points and got the steady 19V-checked for loose connections.
4) I switched ram sticks, took out HD and video or sound card and optical drive, tried restart with and without the battery in.
5) No visible board damage
6) the HD is good
7) checked the on button and associated wiring.
Any other ideas?