I read the thread on the attached link. http://www.justanswer.com/questions/2yqwr-i-just-purchased-a-1998-lincoln-town-car-had-been-sitting
By chance did the problem get fixed? I had a very similar problem and stopped just short of changing the fuel pump. I looked at the key and realized it was not an original. Yep you guessed it! It wasn't the smartkey with the chip inside. I got an original and it started right up. I switched back to the extra key and nothing. My simple conclusion is that the smartkey enables the fuel pump. Lesson learned, always take the simplest approach first.