Skipp, I think the 237 number hes looking at is actually just the list number for the parts breakdown on page 1 of that engines parts lists, not the stamping on the carb body itself.
There are three main lists total associated with that era HS40, plus the breakdowns for some of the sub assemblies (such as the carburetor itself)
So here's the main section for your 55282b:
partstree 55282B
you will actually find your carb part number on page "2", list number 237a It think its done that way for your particular engine because It is a Diaphragm carb.
To add to that when looking at the main section in the link I posted look at the "attachments for this model" section
On those MG means the Magneto breakdown (flywheel and ignition parts)
CA means the carburetor parts breakdown
RS Means The recoil starter parts breakdown
The numbers shown there are the part number for the complete part as well. so as an example CA-631588 means its a 631588 carb and that is the actual part number for a complete assembly which you see listed as 237a on sheet 2.
when you click on any one of those links it will pull up another file/link of the breakdown of that assembly along with usually a brief list of some other engines associated with that particular part.
Bummer here is your working with an NLA carb they stopped installing on anything by end of 1st quarter in 1971 though. So not much will show as available anymore unfortunately. The alternative that Tecumseh went to in 1971 was an intake change and float bowl carb, the new intake angled the carb so it sat level on your slanted engine plate. There were reproduction angled intakes available but currently show as sold out on the Blackwidowmotorsports.net (BWM) site. The only reproduction intake currently available is on ebay is one from BWM at a 45-50% markup from someone that at least gives the impression of simply drop shipping direct from BWM since they just use their sites supplied photos and descriptions on the Rupp parts they sell/flip. So they may not actually have one in stock either, I would verify before purchase if you went that route.
Do you still have the original carb? If you do I will link you to some info and tips for rebuild of it if so. In a pinch you can use a bowl/float carb but it wont work well since the angle it sits at, upgrading the intake makes things easier if you go that route.