Two physical grounds??

Aren't multiple grounds as described....Against Code?

Also, Where do you find 2 prong (ungrounded) sockets?

Back in the late 70s I lived in a house with 4 or 5 outlets TOTAL and push button/rocker switches for lights.
The service was Knob and Tube.....which was so old the code for it was written in Hieroglyphs. My dad, generally mello, freaked out when he saw it and 'bout demanded I move out........The house? One of the oldest in downtown Fullerton California and the very definition of 'fire trap'.

http://en.wikipedia.org/wiki/Knob_and_tube_wiring

I'm surprised. Your Romex may have been put in during a transition period between hard conduit and the newest 3-wire code. At least you didn't have Aluminum wire and fittings.
The house my dad built about '58 was all conduit which I think was the '3rd wire'.

Any of the 2-wire stuff left should be immediately upgraded to latest code. Some of the wiring...J-boxes, outlets and switches may be untouched for decades and ready-2-go.

I'm still a little......leery.....of multiple ground rods.....

I think the take-away here is that for hi-current electrical issues and advice, hire a PRO. someone familiar with NEC and any local issues.