The correct answer is Liverpool Central.
As far as I can tell, only Leeds, Bradford FS, Liverpool C, New Brighton and West Kirby are possibilities.
Right - let's see.
Leeds - fails Clue 3 (Network Rail)
Bradford FS - fair enough
Liverpool C - I thought of that after Hooton

New Brighton - your clue states "
some services", which is ambigious
West Kirby - ditto
Hooton - some services do terminate here
Hazel Grove - some services do terminate here
Shipley - assuming some services do terminate here this is OK
Doncaster - fails Clue 3 (East Coast)
Manchester P - fails Clue 3 (Network Rail)
Manchester O - OK
Wakefield W - fails Clue 3 (East Coast)
Wigan NW - fails Clue 3 (Virgin)