This is not a direct answer to your question, but case hardening was often done as the plates were made of wrought iron which would wear out in the tumbler hole. Sometimes left with color, sometimes polished afterward. Sometimes blued or browned as noted by Mike. But most often case hardened underneath.
Until 1770 or so, most locks would have been finished bright, or with the case hardening colors left in. If they acquired a browned finish during use, that was fine.
Even through the percussion period, color case hardening of locks was common. Same is true of many other parts on guns of the period. Not uncommon to have breechplugs case hardened, triggers, trigger plates, all case hardened. They often did not worry that everthing had to "match" (all iron browned, all bright, or all blued).