The term 'Place to Count Sheep' can be solved by two words: BARN (4 letters) and LEA (3 letters). A BARN is a large agricultural building used for storing hay, grain, and other farm equipment. It is also a place where animals such as cows, horses, and sheep are kept. A LEA is an open area of grassland, usually found in the countryside. Both barns and leas are popular places for shepherds to keep their sheep, making them ideal places to count sheep.