No, it'* not suppose to stay running. You could even damage something in the electrical system by doing this.

Have the battery tested.

X2 have the battery load tested at the parts store, and dont take the cable off while running. the battery regulates the voltage and without it the voltage spikes can destroy electronic components

It'* been a while since I've seen her, but on my old 1997 Bonneville, the ground wire goes to three places: a small one to the starter, a small one to the frame behind the battery, and the biggest one to the engine block, about underneath the oil dipstick.

When the valve cover gaskets start to leak with old age, they'll put some natural rust protectant on the engine block ground. Mainly, if there'* corrosion taking place, it'* a fairly obvious white or green surface on the battery terminal side, which you would have noticed by now.

Well thanks for the help everyone, I took it to the shop this morning and the alt wasn't getting power. I need the car for transpo right away so he ran another power source to the alt and now it'* charging fine. Ive had a lot of cars and havent never had that problem before, that was weird.

the way some of the older cars and trucks are wired the power sense is wired through a bulb in the dash and if the bulb goes out or anything happens to that wiring, the alt wont charge

i hate to say but i am having a bit of another problem i can be driving and the car cuts off, its starts right back up with no problem and keeps on moving. Anyone knows whats up with that?

Could be crank shaft position sensor. If it is, it will start to get worse.