Thank you for the picture Steve.
2) there is a short boss on the right side of the two carbs, and it appears that the front carb's one has been extended to support the cam's pivot... What a mess !
Matt
I'm an M owner who also has a second set of H6 M carbs on a"LeMans" kitted engine I came across 40 years ago. The M carbs are casting number AUC 6040. Mine have suffix "AA". They have no mounting boss on front side(towards float bowl). The boss for the fast idle cam is 0.575". I also have a Triumph spec H6 body as a spare. Also an AUC 6040. As these carbs are mounted on the opposite side of the motor, they are basically mirror image to the M carbs. These carbs have mounting bosses on both sides of the bodies. The unused boss(forward in TR application and would be rear side in 100 application) is also 0.575".
With this information, I would suggest that you try to located an H6 carb from a TR3 or TR4 and modify to suit. You will need to tap the boss used for the fast idle cam, swap over your throttle shaft, and, if present, plug the vacuum port on the underside near the mounting flange. From there you swap over all of the external parts
Make sure that the fast idle cam pivot bolt is the correct shouldered bolt!
As SteveG said, post a picture of your carb, preferably looking straight down at the fast idle cam area.