First of all, what type of power supply are you using for the SC-2345 (e.g. PW01)? When you say "data acquisition board" what exactly are you referring to? The SC-2345? Or do you have an external data acquisition board (e.g. DAQPad 60xx)? It sounds like if nothing is plugged into an AC outlet, then you are getting correct readings. However if one or both of your components are plugged in, then you get bad readings. You mentioned plugging your DAQ board into an AC outlet without grounding it. What exactly are you doing here? How are you accomplishing this? Below is a extensive tutorial on wiring up different types of signals in the field. Take a look at that and see if that helps explain what may be going on here. Another suggestion would be to tie the -
ch of you signal to the chassis ground of your SC-2345 carrier. This is simply a screw mounted to the board in the corner. Refer to the SC-2345 manual for more information. I hope this helps.
Field Wiring