Stileto, I reread the entire thread and I think I finally understand what you want. What caused the confusion is your use of the word "map". It has a meaning which does not apply to what you want...
You need a preamplifier (opamp) with two adjustable pots, one labeled GAIN and the other labeled OFFSET. The Gain pot needs to adjust the gain of the opamp stage from a minimum of about 0.3 to a max of about 3. The Offset pot should add or subtract an offset to the output of the opamp from ~-1V toss +3V. This will let you adjust things so that you can fill the ADC's 0V to 5V dynamic range with your sensor signal.
Furthermore, the input impedance of the preamp stage should be high enough so as not to load the sensor, which apparently has a high output impedance.
The problem will be that you will have to make several iterative adjustments while monitoring the ADC input signal with an oscilloscope to make sure that the ADC signal is centered at 2.5V, and its peak-to-peak amplitude doesn't go below 0V, or above +5V.