I am not qualified or experienced to answer this question but that never stops me trying.... An Earth connection in a car just completes a circuit - if an Earth connection or Ground point were bad then no current would flow - i.e. something that should happen would not happen.
In your case something that should not happen - is happening.
My guess is that somebody has messed up the wiring - what had just happened to the car immediately before you noticed the problem may give you an idea.
Good luck...
Peccavi
January 2013