Hi Letty,
what exactly are you looking for?
All Faheys/ Fays? Just the areas you mention? When do you expect John son of John to be there? 1841- 1891 covers many years for a possible entry.
I am sure you will have seen the 1881 with a John Fahey (12 yrs) son of John living in Clare Street, St Annes parish. The info does say Islington district which, in my very limited knowledge of Liverpool is perhaps not in the areas you are mentioning.
best wishes
heywood