Comic, backing of scary woman by parliament (3,6)

I believe the answer is:

mel brooks

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'comic backing of scary' is the definition.
I know nothing about this answer so I can't tell whether this works.

'woman by parliament' is the wordplay.
'woman' becomes 'Mel'.
'by parliament' becomes 'brooks' (I can't justify this - if you can you should give a lot more credence to this answer).
'mel'+'brooks'='MEL BROOKS'

Can you help me to learn more?

I've seen this clue in The Guardian.

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