Sorry TBM. Should I have written "incorrect
or inapplicable". Sorry to have offended you but these things are not a contest in who is right. Dave only wants his car running right.There is no one more frustrated than a mogger with a wounded Morgan. What IS good of you is to TRY. People feel very alone and having someone like you attempting to help is half the battle. You can now correctly answer the next question in this area with panache.

No offence taken. Every day a learning day and Dave gets a fixed Mog which is the priority.
I'm struggling a little to see th difference between these posts, but I'll take my pat on the back for 'good effort'

ALL Mallorys need to be ballast-resisted.
I've been reading about the Mallory and as you mention, it does say you should have a ballast resistor in place
More reading (I'm very bored during my enforced isolation).It seems your symptoms (hot coil) are very common when running without a ballast resistor, and as you're taking the live feed for the Dizzy from the coil I'm pretty sure you don't have one. There is a possibility that you've unintentionally fried the Unilite.
Solutions? Fit a ballast resistor
Agreed , but that is the standard 14CUX system , and OP has a Mallory Unalite distributor fitted , which does apparently require a ballast resistor