Cake munched at the back of the parsonage (5)
I believe the answer is:
genoa
'cake' is the definition.
(I've seen this before)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for genoa that I've seen before include "City of Italy" , "Cake type; foresail" , "NW Italian sea port" , "Type of rich fruit cake" , "North Italian port" .)