Definitively the FRDM board is not being powered by the Shield. The shield take the Battery voltage to the pin 16 in header J9 and with this the FRDM board is powered.
You said tha only one led is on and this one indicates that the battery is charged and plugged, the other leds in the shield are not powered because this are turned on or off by the FRDM but this is off. You can make a test, supply 5 or 9 volts to the pin 16 in the header J9 (P5-9V_VIN) without the shield and see if the board is powered, if not you need to check the continuity between the Vbat pin in the shield and the pin 16 (J9) in the Freedom board when this are together.
Please let me know your results.
I hope this information can help you.
Regards,
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