200ma is 2 tenths of an amp, not 1 tenth, and a car with this draw and a typical 125RC starting battery, parked when fully charged, will be down to 10.5 volts in about 10 days. At that point it is considered fully discharged and may not start the car.
Automakers strive for the standby current (called IOD or ignition off draw) to be 50 ma or less.
This allows about a month of standby time.
A draw of 6 ma or less is well within this spec, and is so low as to call the accuracy of the measurements into question. If it really is 6 ma this is not the source of the grand daughters no-start problem.
One possible diagnostic test is to remove the battery cable overnight. The next day, re-install the cable and again try to start the car. If it starts, the car has excessive standby loss. If it does not start, the battery is bad (perhaps with an internal short that doesn't show up on a simple load test).
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Today's Featured Article - An Old-Time Tractor Demonstration - by Kim Pratt. Sam was born in rural Kansas in 1926. His dad was a hard-working farmer and the children worked hard everyday to help ends meet. In the rural area he grew up in, the highlight of the week was Saturday when many people took a break from their work to go to town. It was on one such Saturday in the early 1940's when Sam was 16 years old that he ended up in Dennison, Kansas to watch a demonstration of a new tractor being put on by a local dealer. It was an Allis-Chalmers tractor dealership,
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