Piggly Wiggly River Run Share: Grocery Stores Piggly Wiggly River Run Visit Website 3800 River Run Mountain Brook, AL 35243 (205) 87O-5640 About Map About We are a locally owned full service grocery store in Birmingham Alabama. We pride ourselves on great customer service. We are here to serve you. What's Nearby? Distance: 5 10 15 20 25 50 mi.