Witch one harpy riled on journey back in idealised life (11)

I believe the answer is:

hagiography

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'life' is the definition.
(I know that hagiography is a type of life)

'witch one harpy riled on journey back in' is the wordplay.
'witch' becomes 'hag' (synonyms).
'riled' is an anagram indicator (letters must be irritated or riled up).
'on journey back' becomes 'gio' (I am not sure about this - if you are sure you should believe this answer much more).
'in' means one lot of letters goes inside another.
'harpy' anagrammed gives 'raphy'.
'hag'+'raphy'='hagraphy'
'hagraphy' enclosing 'gio' is 'HAGIOGRAPHY'.

'idealised' acts as a link.
I am not very happy about this link. It may be part of another bit of the clue.

Can you help me to learn more?

(Another definition for hagiography that I've seen is " Biography of saintly person".)

I've seen this clue in The Times.

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