Your FaceBook friends who play the game can send you gifts. They do not have to be your neighbours to do this. You can send gifts via the "send gifts" tab from your loaded farm. You can also return gifts when accepting a gift by clicking on the "My Requests" tab from your loaded game. The "Gifting Machines" shown above can be bought from the "Store" and click on "Tools". When you see "99+" next to your gift box, this means that the counter has stopped, but you can still receive gifts until your gift box is full.  When you open your gift box you have a choice what to store and how to display your gifts by clicking on the drop down arrows.