Religious book with additional writing on charity (6)

I believe the answer is:
psalms
'religious book' is the definition.
'psalms' can be an answer for 'book' (I've seen this before). I'm unsure of the 'religious' bit.
'additional writing on charity' is the wordplay.
'additional writing' becomes 'ps' (I can't justify this - if you can you should give a lot more credence to this answer).
'on' is a charade indicator (letters next to each other) (in a down clue, letters appear on others).
'charity' becomes 'alms' (alms is a kind of charity).
'ps'+'alms'='PSALMS'
'with' is the link.
Can you help me to learn more?
(Other definitions for psalms that I've seen before include "Religious songs" , "Sacred songs or hymns" , "They're heard in church" , "Sacred songs or poems" , "Biblical songs" .)
