the biggest problem i see, is the quality of instumentation
and even with high quality meters, you can get erroneous readings
your B&D inverter is likely around 80% efficient
so if we are to believe your killawatt, which i have found to be pretty darned
accurate the lamp burns 10-11watts
lets call it 11 watts, which is probably pretty close
now 11 watts / 80% = 13.75
so i would expect your dc supply side to take about 14 watts
14 watts / 12 volts = 1.17 amps
so i would expect that your harbor freight amp meter is off, but why
well maybe cause its cheap? but just as likely
and in my experience...
the inverter places some wierd AC crap on the DC buss which skews the reading, or...
a combination of cheap meter and crap on the DC buss.
believe me i am yanking out what few hairs i have on my head right now fighting to get accurate amp reading because of crap overlaid on my DC buss making it impossible
to get anywhere near accurate readings.
yours skew to the inefficient side of things, mine skew to so far into the overunity camp that i should be selling tickets to witness the event!
anytime the reading exceeds what i know to be a reasonable efficiency i automatically become suspect of every facet of my measurement and instrumentation.
cheer up,, it only gets worse!
bob g