I'm an idiot!
I found the solutions just after asking this question:
player.Margin = new Thickness(player.Margin.Left,
player.Margin.Top - 10,
player.Margin.Right,
player.Margin.Bottom);
This moves the label named "player" 10 pixels upwards.
At least there are s great solution for this now, as "thickness" wasn't something I intuitively associated with margin properties.
-Frank