1961 GE DUAL DIAL 12 STATION LIGHT CONTROL PANEL ?

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Is this the part you're looking for (see image below)?  I doubt you can find a reliable source of parts for this system these days, but they do make their way on eBay every so often. I can suggest running a search for the names of the parts of the system, such as "GE RR-7" - that's the solenoid replacements ( and there are a few auctions of these going on right now ) or "GE RS2" - rocker switch - and approach the seller with the question about the panel. Many of them are selling off old stocks of companies that no longer exist and they might just have the G-E Master Selector Switch (the device on the picture) that you are looking for.

This is totally off the wall but it sounds like if your solenoid panel is still fine, it may be a nice electronics project to make a micro controller-based panel that operates  those relays. There isn't anything in that Master Switch that cannot be done with todays parts. It would be a custom designed device though and likely even more expensive than a replacement panel (if you can find one that is). Perhaps it's something to consider as an alternative to rewiring the house...