East Fife made it back-to-back wins by beating Elgin City 2-1 courtesy of Nathan Austin's second-half winner.The Fifers took a ninth-minute lead when a powerful header by Jonathan Page found the top right-hand corner of the goal.Elgin got themselves back on level terms as Craig Gunn slotted home in the 21st minute.Austin scored what turned out to be the winner for East Fife on the hour mark, placing his left-footed shot into the bottom right-hand corner of the goal from the centre of the penalty area.