You are correct "The man should be HANGED" - however "Hung" just seems to sound more appropriate, so I used it

The word 'got' is the past-tense of 'get' so where did 'gotten' come from? A past-tense of 'got' ? If 'got' is already a past tense, then how can it have a past tense of a past tense?
Where did 'snuck' come from as the past-tense of 'sneak'? Surely the past tense of 'sneek' is 'sneeked' ?

We use English to suit our mood and our situation - don't pull it to pieces when it's not necessary (no criticism intended)