Vector group and voltage ratios are easily determined with a Turns Ratio Tester, such as those manufactured by Biddle. The voltage used by the TTR is only about 10 volts. You should be able to determine who built the transformer by checking bushing nameplates, transformer prints, purchase orders, by comparing with other transformers, and possibly by examination of auxiliary equipment on the transfomer. Transformer manufacturers normally maintain records of their products and you should be able to get a replacement nameplate, test data, copies of the original drawings, etc.