A tidy-headed girl, in fact (5)

I believe the answer is:

truth

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'in fact' is the definition.
(thesaurus)

'a tidy-headed girl' is the wordplay.
'a tidy-headed' becomes 't' (this could be a standard abbreviation which I don't know about).
'girl' becomes 'Ruth' (girl's name).
't'+'ruth'='TRUTH'

Can you help me to learn more?

(Other definitions for truth that I've seen before include "Beauty is (said Keats)" , "Verified fact" , "Honesty" , "known facts" , "Veracity; established fact" .)

I've seen this clue in the Evening Standard.

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