Gary,
Finally I can use something I learnt (sic) in EE school.
Your measurement method is actually measuring the resistance of the meter you are using to make the measurements. Anyway,to get an accurate mesurement of the current the toy is consuming, this measurement method will work:
1) Connect the original batteries using WIRES to the toy power connections.
2) Cut one of the battery wires and insert a LOW resistance resistor (100_Ohm). Measure the resistance of the resistor by itself with your Ohm Meter (before you hook it up).
3) Hook up the toy and start it up.
4) Measure the VOLTAGE drop across the resistor using a your volt Meter.
5) Using the formula: Vdrop=I*R, I=V/R, where
Vdrop= Measured Voltage drop across the resistor (in Volts)
R = the Measured value of the Resistor, (Ohms)
I = the Measured current in the wire. (in Amps, not milli or micro)
6) The key to success is to not use too high a value of resistance that the toy does not run and always use the measured voltage and resistance values. If the toy does not run, lower the resistor value (like 10_Ohms).
Hope this helps,
-Roger