Here is a building they are making no more of. Grainerys were forerunners to the modern day grain elevator and date back to 9500 BC. The grainery above is also what some would refer to as a corn crib. That term is correct as well. A corn crib can be a specific type of grainery.
Spelling seems to differ with geography. Some spell it granary and some grainery. Growing up in S.W. Minnesota I have always seen grainery as the spelling. It was most often pronounced grain-ree. Other parts of the U.S. spell it granary.