You will find the original mining district bylaws and records at the County Recorders office.
There is no need to "reestablish" a mining district, if there is no existing mining district you can start a new one if you can get a proper majority of claimholders to go along.
This idea of reactivating or reestablishing an old preexisting mining district is nonsense. Most of the old district bylaws wouldn't be legal today anyway. In Arizona virtually all the districts were created to prevent Mexicans and Chinese from mining their claims so whites could take them over. There is some pretty nasty stuff in their bylaws. That stuff don't fly anymore.
Create your own district bylaws that meet your current needs. Establish reasonable boundaries based on a small mined area where the claimholders can meet and establish rules that meet the needs of the type of mining, the deposit and the individual miners. Follow State law for creating a proper taxing district since you will need to fund the district activities to some extent.
Please don't fall for that "gold districts" list that's being passed off as mining districts in California. That's simply an old State survey of where gold was being mined. Some of the "gold district" names are the same as the past mining districts but many aren't. I have pretty much all of the old mining district bylaws in my library and those "gold districts" are not the same as mining districts. Looking for the bylaws of "gold districts" will mostly be a wild goose chase.
Here's the current law about mining districts in California:
There will be something similar in the other public land States. Figure out the current legal requirements for forming a United States mining district in your state and follow it to the letter. If you keep it small and relevant a mining district can be quite effective at controlling mining safety, methods and claim requirements in your mining area.
Heavy Pans