Suggestion one:
Leave at 0:38, arrive East Croydon 0:52.
Leave East Croydon at 5:23....
It does say 'prolonged stop'.
And at least they've fixed the problem that meant it used to suggest the way to get from Waterloo East to Waterloo (a two minute walk across the footbridge between the two) was to go by train to Charing Cross (across the Thames), change to the Northern Line and take the tube back to Waterloo!