Use your DMM, set to frequency, and with the inputs shorted, measure the frequency at the outputs. 60Hz is ground, 120Hz is transformer, other is other. If 60Hz, try a cheater plug, no ground prong, at the outlet. Also, since you didn't build the unit, I would reflow the solder joints. But first, measure the frequency of the noise and report back.
Cheers,
Geary