Her tale is garbled but materially correct (7)

I believe the answer is:

leather

I'm a little stuck... Click here to teach me more about this clue!

'materially correct' is the definition.
I can't judge whether this definition defines the answer.

'her tale is garbled' is the wordplay.
'is garbled' is an anagram indicator.
'her'+'tale'='hertale'
'hertale' with letters rearranged gives 'LEATHER'.

'but' acts as a link.

Can you help me to learn more?

(Other definitions for leather that I've seen before include "Beat" , "Animal skins" , "Flog; hide" , "Tanned animal skin" , "Polishing cloth" .)

I've seen this clue in The Globe and Mail.

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