Help with Power Supply cord

I have a Dell Inspiron 1000 laptop, quite old. Have some old music files on it that I want to transfer, but it no longer powers on. When the cord is plugged into the wall outlet and not into the PC, it's green power light is lit. However, when I plug it into the PC, then it is blinking ever so weakly and not providing any power to the PC.

In your opinion, is the power supply cord gone dead or is the PC itself dead? Prior to this while this PC was in use and power was being supplied to the PC, the screen would go completely black while in use. This is why I purchased a new PC in the first place. Now I wish I had some old files off the old Inspiron 1000 and don't know how to get them from a dead computer. If I just have a dead power supply cord, then I would order one. But I don't know.

I just had the same model brought in and it was DOA as far as power went.
Take the hard drive out and get a notebook IDE to USB adapter and plug into your computer and you can read and copy all the files.

That's what I have decided on doing.