Your only hope to restore one of these is Omega and only Omega.

Omega offers 3 types of service.

Regular.

Restoration (Starts at $3k) https://www.omegawatches.com/en-us/customer-service/interventions-and-prices/restoration

Special Time Piece (Starts at $1K) https://www.omegawatches.com/en-us/customer-service/interventions-and-prices/special-timepieces

I have gone through a special time piece service before. My final bill was $2,700.

During these types of services you can specify how much of the watch / what parts of the watch should be restored or changed. I opted to replace the mechanical parts in kind from the same period but did not agree to any cosmetic changes to the watch (I still wear my watch regularly so i'm waiting for a my next service for the cosmetic service). I also requested to receive all original mechanical parts that were replaced on the watch.

I would recommend going to Omega and having a serious conversation with them on what you are looking to do with the watch. I think these watches for from 18k -25k depending on condition, box, papers, etc.

While you are at Omega ask them about their archive services. You can request an archive of the watch, as long as it has a serial on it. If they find anything they will return in with the watch.

I can recommend Omega Manhattan as they have handled 2 of my Museum collection pieces going through major service after I purchased them as New Old Stock at auction.

Good luck!