Why not ask IBM and include the pic ? ?
Awesome idea.... They might be interested in that picture if they dont have one of it.
Also to mention that... some systems back then deviated from standard build. They would be build to order, so it might be a variant of 704 or 709 etc. Whatever a company or organization with LOTS OF MONEY needed, a system could be specially engineered and built for it since money talks. Computers and Mainframes were not mass produced back then. They were great big monsters with lots of relays and tubes and a very hungry electrical power need. I havent looked into population reports of systems back in the 50s, but if I was to make an educated guess, i would think that there might be only a few hundred of these monster computers tops. The US Government for Defense having greater portion of them. And only the giant banks and engineering firms being the rest of the population + the larger colleges that had the funding or donation of such great monster computer/mainframes.
I read in a book once that one computer used so much electricity and due to relay logic, ( de-energized relays dont consume power but energigized relays do ), and so it caused an unusually heavy power demand at times if more relays were energized than de-energized and so it made peoples lights flicker as the line voltage would dip from excessive current needs.
When I worked for Allen-Bradley / Rockwell Automation there were some customers that wanted their own specific product and so they had a variant of a standard Intel i960 micro controller with specific firmware for their needs as well as board mods to make the controller to their spec needs. Money Talks and odd builds become of it. Part Numbers would be almost the same as the standard product but have a different number or letter in part number to identify it as what it is. These were low production for specific customer. Where as the IMC S-Class controllers they made tens of thousands of them with other flavors that were standard options and some options quickly implemented by swapping firmware and installing or removing such as an Axis-Link or RIO Card.