Country Clubs

Why is it called a "country club" when the most country-like aspect is the golf course? Why not add steeplechase and polo and skeet shooting or pheasant hunting--ideally, all at the same time? "Fore!" blam! "I say, Carruthers, good shot...what's that? One must play each fragment of the golf ball separately?" I can see the fox hunters in a melee with the polo riders, with occasional golf balls taking a toll of both sides.