I hooked up the ground fault test box again, and took some measurements.  With a calculated ground fault of 0.09A I was getting an peak A rms reading on the arduino of 0.05A it was regular but not constant. 

I was able to measure a calculated 0.1A ground fault with the meter and the arduino.  The arduino still  measured 0.05A but the meter measured 0.9A.  This wasn't a reliable measurement though.

The detectable amperage is higher than the standard which is 0.06A at the highest, but I didn't set out to build a gfci and I am pleased with the results.  

I did check the arduino at a measured 0.6A calculated load and measured 0.52 so I am happy that it was closer at this level.  I will continue to test the circuit and finish with three graphs, Calculated, Meter, and Arduino and compare the results, but I have to get a better dmm first.