No idea how your servo/pot is internally wired, but with a normal pot you'd hook Vcc & Gnd to the fixed terminals and connect the wiper to your ADC. Maybe start by checking the resistance from the wiper to the fixed terminals. Are you getting what you expect? Then hook it up and check voltage at the ADC pin while you move the wiper.
Dunno if that's at the level you're asking about, but that those are my first thoughts.
- Bruce