Photos of Old Town Backpacker Hostel in Tallinn, Estonia, close to grocery, inside the Old Town and above the grocery is free Wifi or Wireless connection, I suppose you need to buy a Kohv / Coffee, so the net is one Euro or 1.25 U.S. Dollars.
Friendly place, and really a home made into a Hostel, like living in a home with way too many bunkbeds. Has a free sauna, and very luxurious shower. This is a proper Hostel, it has a Kitchen, Common area and TV.