This may be useful for identifying old SU carbs:
https://www.mgexp.com/phile/71/223105/SU...4789_J.PDF
It lists cars by make and model then what SU was fitted as standard, the needles and springs and the SU parts number going back to the late 20s it seems.
As far as I can tell the 1 inch OM carbs are the ones with the suction chamber mounting holes aligned on the bore of the carb throat (the first picture in Douglas' post). The pre-war Morris carbs seem to be UBA type that have the two holes for mounting the top at right angles to the throat.
I recently found two of those at a wreckers here that I am rebuilding to use on my Riley 9 (slightly bigger would be better but these will run). I think the other, similarly sized carb, is the HV1 but I have never seen one and am not sure what the difference between that and a UBA is.
It's worth noting that with the HV series the 'usual' SU carb number pattern where the number is the number of 1/8 increments over 1 inch doesn't work. So a HV1 has a 1 inch throat unlike the other H series carbs which would be 1-1/8th I think.
The OM, UBA and HV1 use the same rebuild kit. I actually found I could get those cheaper (and some other parts like the damper caps - no actual damper but a vented cap) from the Pre-War Morris club than from Burlen. Refreshingly you don't seem to need to be a member to buy parts from them. Well, they charged my card at least, hopefully the parts arrive!
Simon