At times, this was a peculiar spectacle. The Toffees appeared surprisingly tentative during the first 15 minutes and the Saints capitalised on this well, with Gaston Ramirez giving the visitors the lead.
There was certainly concern in the stands, before Leon Osman's equaliser finally got the home side going. Everton then went on to produce some of the most sumptuous, flowing football the Goodison Park natives have seen this season, and Nikica Jelavic's brace proved enough to eventually seal the points.
Having dominated up to the hour mark, the Toffees then visibly eased off and once again seemed vulnerable and slightly disjointed at the back.
Of course, all anyone concerned with the Toffees will care about after this is the points and it is now an impressive four wins from six in the league for Moyes' improving side.
Here are six talking points to take from yesterday's showing.