Gillingham took the lead through Danny Kedwell's far-post header, but Chris Robertson equalised for the home side with a close-range header.
Vale mounted pressure after the interval and it was no surprise when half-time substitute Pope headed home in the 63rd minute.
More top news
Friends and family of Steven Wanna have launched a campaign to get him facial reconstruction surgery after he was run over on his birthday.
Helen Plint has the forecast for tonight and tomorrow in the west of the region.
Helen Plint has the forecast for tonight and tomorrow in east of region.