From your wording, we cannot tell if you want information on the process material or the material used to build the vessel? Please be more thorough. We cannot read your mind.
I need information source for wall temperatures...lets say for stainless steel,carbon steel...Please be aware I do not need values I need information reference..
If you look at ASME B31.3, table A-2, it shows you allowable stress limitations for different materials which kind of gives you an idea about what would be the maximum temperature the vessel wall composed of that material can withstand before failing. That Maximum Temperature is used for sizing.