Crossword Genius

Roof-cover produced by PM Margaret? (6)

Ross

I believe the answer is:

thatch

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'roof' is the definition.
(I know this)

'cover produced by pm margaret?' is the wordplay.
'cover' becomes 'hatch' (synonyms).
'produced by' means one lot of letters go next to another.
'pm margaret?' becomes 't' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'hatch' put after 't' is 'THATCH'.

Can you help me to learn more?

(Other definitions for thatch that I've seen before include "Rural roofing" , "An old-fashioned roof covering of straw, reeds etc" , "Old-fashioned roofing material" , "Roofing material - thick hair" , "Old roof covering for house" .)

I've seen this clue in the Sydney Morning Herald.
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