Turnbull scored in the first half but there was more drama as players left the pitch at half time. Chris Swailes was seen to head butt a Southport player, which lead to the match referee sending off both players.
Gateshead passed the ball around much akin to how they won promotion and the two more goals cemented their place in the First Round.
Gateshead will be ball 52 tomorrow as they drawn live on ITV at 1pm. They could face Leeds, Huddersfield, Charlton, Southampton or Norwich.