Greetings,
The second situation you describe (instrument loading) does sound like a grounding issue. What types of signals are you connecting to your 1305 (floating, ground-referenced, or both)? Have you made the appropriate jumper selections on your 1305? The noise sounds like a different issue. Are you positive that the noise acquisition is isolated to your 1305? Have you tried using a different terminal block with your 1140?
Let me know, and I will try to help you solve your problem.
Spencer S.