Hello jamundson--  The most obvious answer for the problem you are having with your 1991 Chevrolet Corsica would be the battery, particularly if it is happening only when it is cold outside.  Test it.  Then we can move on.  There are only three types of problems as to why your car won't start- electrical, lack of fuel, or compression problems.  If it is not your battery I would check the electrical issues before digging deeper.  If you are not a mechanic, find one that you can trust and bring the car to him.   Good luck from Bovan.