Had a similar problem with my 94' Buick Roadmaster. It has the twilight sentinel option as well as the front turn signal lamps being on all the time when the car is running.
One day all the lights just came on when I started the car. It turned out that I had a faulty twilight sentinel control module.
I was thinking of this being the issue as well.
Does anyone have the part number for this module? If not, I'll google it when I get home tonight. -- Gun control is being able to hit your target.