I don't know much about carbon arc lamps, but a useful reference site that is maintained by James, a member here, might have some useful information for you, it's
lamptech.co.uk.
The Pointolite lamp is particularly interesting for me, as I have a couple of lamps, although different from the one you show, but I'm really interested you have the gear, that is particularly rare. Does the gear or lamp state a type or wattage..?