1) Attic 2) Barn area 3) Barn feature 4) Barn storage area 5) Garret 6) It belongs in the barn 7) Loft 8) Rural storage area 1) Mow 
A hayloft is a space above a barn, stable or cow-shed, traditionally used for storage of hay or other fodder for the animals below. Haylofts were used mainly before the widespread use of hay bales, which allow simpler handling of bulk hay. Another name for a hayloft is a mow. The hayloft was filled with loose hay from the top of a wagon thrown up ...
• (n.) A loft or scaffold for hay.
Hay'loft` (hā'lŏft`; 115) noun A loft or scaffold for hay. 
[n] - a loft for storing hay
[My Antonia] a loft, or upper story, in a barn or stable, for storing hay.
haymow noun a loft in a barn where hay is stored