Clearly marked; Burroughs Adding Machine Company.
That was an unexpected spot to find the company name. This is on the bottom-inside of the damper or dashpot of a Burroughs Class 9 adding machine. The dashpot needed re-filling, the yellow color in the image above is the remaining original oil. To get at this marking (and re-fill with oil), the top of the dashpot could be screwed off.
Like most lever-operated adding machines, it has a dashpot -and like many ~100 year old machines this dashpot needed re-filling. Oil will have evaporated through a small gap round the plunger-shaft - or if the machine was stored on its side, it could have leaked out (and made a mess).
To re-fill the dashpot, it needed to be taken out first. This dashpot is mounted at the rear-right side of the main module of the Burroughs adding machine. To get good access to this dashpot for removing it, the main module was taken out / made free from the connected modules. Undoing the retaining nut for the plunger and removing the frame's base-bracket allowed the dashpot to come out.
Next to the dashpot, at the rear-left side of the main module (at the right in picture above), are by the way the rocking tooth-segments that drive the totals-register. Even though this a relatively modern 1920's machine with a modular design, these segments are still quite similar to how the original 1890's Burroughs machine worked.
To get the main-module free, the core-mechanism was taken apart in its three modules. There is the main-module (with dashpot, segments and the differential-levers for the keyboard to interact with), the totaliser-module (with the register and carry-mechanism) and finally the hammers-module with top-plate that helps holding the lower two together. These three modules are the core of the machine. With screws the rear base mounting-bracket links the main- and totaliser-module. Another two screws plus two hexagonal-bolts fixes the hammer-module to the top of both.
This core-mechanism was taken out of the housing. It is mounted onto the housing base (or pan) with four screws. As it was out and one foot was missing - this machine's pan was fitted with four new reproduction feet. New 3D printed feet in TPU to the dimensions taken from remaining original feet.

The keyboard is another module that needed to be taken off the top of the main-module. It is fixed by two screws at the rear and hooks over pegs at the front. To take it off; remove these screws, then lift it up at the rear and slide it a bit to the rear and lift free. Well, that is the simple version - in reality there will be lots of wiggling and extra preparations (note that little spring on the right!). Putting it back also needs care - not a simple insert and screw-tight. For example; the front-left key-release-rod must be engaged with the rotating fork coming out of the main-module and care must be taken that all levers at the right-side of the machine are on the correct side of the levers of the keyboard.

I.e. yes the whole machine is fully modular, but there are complications. E.g. the core-mechanism has a few 'extras'; there is e.g. a long lever (pitman) that must be unscrewed and wiggled free (has ju-ust enough clearance) before the totaliser and main modules can be carefully pried apart.
Removing and replacing the housing top shell is however a simple matter - it is held in place mainly with the carriage-module that in this case is held with four screws onto the top-plate of the mechanism. Two more small screws in lower-front to hold it form there too. That then is a complete Burroughs Portable adding-listing machine that needed its dashpot re-filled.
This
Burroughs Portable adding machine, Style 9 08 02 was a generous gift and will be cleaned and repaired over the coming months/weeks. It had been stored in family-attics for probably more than 50 years, occasionally taken out to be experienced and played with (children!). This machine had been given to the family, when a neighbouring small accountants-office modernised. That office may well have purchased the machine already second-hand - the serial number dates it to 1928.
These Burroughs Portable machines were introduced 1925/1926 and
with several (cosmetic) changes were produced into the 1960s in large numbers. These
Burroughs machine are thus pretty common and should be readily available on the usual marketplaces - this was and is a a common machine. That's because Burroughs had a strong sales organisation and marketing to banks and businesses in general - but I think also because it actually is a good design. Am really looking forward to exploring it further and repairing it.
(Wrt "Portable"; it is! Compared to the previous generations of Burroughs machines these machines are definitely portable - i.e. it is possible for one person to lift and carry it.)
Re-filling the dashpot was just one of the fixes. Admittedly this was a bit daunting, having to take it apart that far. But it had the bonus of seeing the hidden Burroughs Adding Machine Company marking. A little 'Easter egg' in these machines that's probably not often seen/found.
Easier fix was e.g. finding replacements for several missing screws (American-size and/or obsolete threads!).
There are still many more repairs to be done - e.g. figuring out why column 7 and 8 don't work - these simply refuse to print for totals. And the carriage line-feed is 'temperamental' :)
Another repair -already successful- was getting the subtraction to work again - it would either add or simply block the machine. Following the explanation with great drawings by Mr Allen Asa Horton in
US patent 1,853,050 it was possible to trace the fault to a single bent lever and then fix it. How that lever got bent is however still to be discovered. Documents helpfully shared by Mike of
Burroughs Info (Thank you again!) made clear that the handle should dis-engage in fault-conditions. The machine currently does not - some safety mechanisms not working may have caused this damage to the mechanism. More puzzle! :-)
Nevertheless; the machine is now again capable of calculating its own age:
Not bad for almost a century old!