Today's puzzle is a slight variant of one that has been used in Civil Service examinations.
Melchester Rovers are playing Fulchester United and by a strange quirk of fate there are three players in the Melchester team, a striker, defender and keeper respectively, that share the same name as one of the players in the other team. Fulchester's Wilkins lives in Fulchester; the Melchester striker lives midway between Fulchester and Melchester. Fulchester's Wilson gets £400 per match and Melchester's striker gets exactly one third as much as his next door neighbour, who is in the Fulchester team. The Melchester striker's namesake lives in Melchester. Melchester's Williams beats his team's defender at snooker. What is the name of Melchester keeper?
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