Welcome to the site. There are many very knowledgeable people here who are willing to share.
There was a series of articles written about proof marks and the tests that some of them represent. They were written in Gun Digest over a 12 year span. You can pick up individual Gun Digests on eBay for about $5.00 - $10.00 each. Two that may help are:
31st Edition England - 1977
32nd Edition Belgium - 1978
Also the Birmingham Proof House maintains a nice website. They sell a lot of documents that may help answer some of your questions.
http://www.gunproof.com/Price_List/price_list.htmlThey also have CD available with many of the documents from C.I.P.
Safe pressures are easier to determine if you just name the gun, condition, any existing proof marks, chamber lengths, etc.
Most people feel about 5,000 psi is safe for many damascus barrels. But this can vary a great deal. If the gun in question is a British gun in excellent condition with Nitro proof marks in can most likely handle heavier loads versus an unmarked gun with heavy pitting of the bores and a loose hinge which should simply not be shot at all. Because a gun has fluid steel barrels does not mean it can handle modern loads. Manufacturing tolerances have changed along with the steels available to the gun maker. So, as Greg states, a load of 10,000 psi may be safe, again depending on the original gun and it's current condition.
There is no correlation between proof and pressure. It is very direct. The gun is subjected to loads that produce known pressure levels in excess of normal loads. The gun is measured at many points before and after the test. If any changes occur, the gun does not pass. These tests are well documented, including the powder and charge used in each phase of the tests.
There is no proof house in the USA. There are however, proof loads, "blue pills" that are not available to the general public. But this does not apply to guns built 100 years ago.
Please, ask questions before you decide to grab some Wally Save a Buck Loose a Thumb Duck load and fire away.
Pete