I would start with a cleaning, I think baking soda will help clean away corosion. Also if you have a battery charger, put it on the lowest 12V setting (like 1A or less) and let it charge over night. And yes, if you get 14V when running the ALT is most likely just fine.

Previous Owner of 00 SVT Contour #1077/2150 95 Contour SE '01 3L