Again to cry out for a home for a good man (7)

I believe the answer is:
rectory
'a home for a good man' is the definition.
I can't judge whether this definition defines the answer.
'again to cry out' is the wordplay.
'again' becomes 're' (prefix meaning 'again').
'out' is an insertion indicator.
'to' inserted within 'cry' is 'ctory'.
're'+'ctory'='RECTORY'
'for' is the link.
Can you help me to learn more?
(Other definitions for rectory that I've seen before include "Ecclesiastical dwelling-house" , "Clergyman's residence" , "Clergyman's address" , "minister's place" , "Accommodation for minister" .)
