The name is probably derived from the pits or cellars (foveae) in which the inhabitants store their grain.
1849, from Latin fovea "small pit," related to favissae "underground reservoirs;" of unknown origin, perhaps from Etruscan.
fovea fo·ve·a (fō'vē-ə)
n. pl. fo·ve·ae (-vē-ē')
A small pit or cuplike depression in a bone or an organ.
The fovea centralis.