If I'm understanding correctly:
With the battery hooked up, I have no idea what will happen. If the meter is set to measure resistance and is placed across voltage, somehting often goes up in smoke. One meter lead is on a ground, and the other on a wire that's switched off?? If it was on, then the meter may be damaged.
If the battery positive is disconnected, then the meter is indicating a fairly low reistance connection between the run circuit and ground. That's a short to ground!