Funny chap’s mum upset king outside factory (3,6)

'mum upset king outside factory' is the definition.
I don't know anything about this answer so I cannot judge whether this works.

'funny chap's' is the wordplay.
I cannot really understand how this works, but
'funny' could be 'ill' (eg feeling a bit funny) and 'ill' is located in the answer.
'chap' could be 'max' and 'max' is found within the answer.
The remaining letters 'mer' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?