I also have an old HP (omnibook 900) laptop with a vertical line down the screen. At first it wasn't noticeable; it seemed to fade in and out. Then as time went by, the line became a little broader and the color seemed to be white with red boundaries. Its fairly broad; about 1/16 of an inch.
I tried seeing if there was a problem with my video connector, but it seemed okay. So maybe its my video card. I tried it was an external monitor, the secondary screen displayed fine. So I concluded that its a problem with the screen - physically damaged. Yup, my lappy has taken quite a beating over the years.