Ronald Koeman’s Everton had plenty of possession in the first half, but laboured to create clear opportunities, with recent signing Yannick Bolasie always a handful and Ross Barkley missing one chance.
Baines’s low shot was pushed on to a post by Given, but the ball richocheted off the goalkeeper's head into the net.
Barkley went close to doubling Everton’s lead towards the end, but Given saved his effort, and the Toffees duly sealed a narrow 1-0 victory.
See: Everton match report
See: Stoke match report